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Chord names written above the soprano, functional analysis in Roman numerals below the bass. Study to use in your pieces for chord progressions. Non-chord tones: app. is appoggiatura sus. is suspension pass. is passing tone https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1611178582009-58EW9VSBTUU03E9VXOHH/Soprano+melody.png Writing - Harmony in Bach: O Jesulein süß https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1611178199868-MRJE4XBOVHJ729MQB6PG/o+jesulein+handwritten.png Writing - Harmony in Bach: O Jesulein süß https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1611178609508-OWD582H6H4LT30WALWRE/bass+and+soprano.png Writing - Harmony in Bach: O Jesulein süß https://www.jordanali.com/writing/brahms-analysis monthly 0.5 2024-08-11 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1608334701744-E5HQ02D38GMY8RSNXPP9/2.png Writing - Analysis of Brahms 3 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1608334768068-7S3T2BL0Z0E18XGWHUXD/Condensed+piano+score.png Writing - Analysis of Brahms 3 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1608334685066-7I05QYIBAQZOXH234EVM/1.png Writing - Analysis of Brahms 3 https://www.jordanali.com/writing/analysis monthly 0.5 2022-12-26 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1608251793330-V540T257RG01ARKU1MFK/3.png Writing - Hearing and Analysis https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1608251734089-KDMX01JWUM9JGOU08NJI/2.png Writing - Hearing and Analysis https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1608251694727-86PIGQTW8GK7CFARMO5E/1.png Writing - Hearing and Analysis https://www.jordanali.com/writing/bach-4-reduction monthly 0.5 2022-04-10 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1608072711841-ZVHGDSBCHNSEY263TM2O/image-asset.png Writing - Four Voice Reduction of Bach Cello Suite No. 4: Prelude https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1608072848525-7ODTD2LEINXY54SN3HC8/5.png Writing - Four Voice Reduction of Bach Cello Suite No. 4: Prelude https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1608072824725-YLJ4FZGBX1OR72UQWUGR/4.png Writing - Four Voice Reduction of Bach Cello Suite No. 4: Prelude https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1608072749564-AUENHJ0TDV577I5OJZ15/3.png Writing - Four Voice Reduction of Bach Cello Suite No. 4: Prelude https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1608072453900-1O75KJA9YZGRHVZ2DC4P/Screen+Shot+2020-12-15+at+5.47.25+PM.png Writing - Four Voice Reduction of Bach Cello Suite No. 4: Prelude - Download The 17-Page PDF of the Bach Analysis Here https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1608072727031-SGF2RME3GEP67CDZ6TUS/2.png Writing - Four Voice Reduction of Bach Cello Suite No. 4: Prelude https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1608072893099-I86ONYTXRICB8P6H1UT0/6.png Writing - Four Voice Reduction of Bach Cello Suite No. 4: Prelude https://www.jordanali.com/writing/reduction monthly 0.5 2024-08-11 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607737690072-C6G0DU9N8VBMUV1L17CL/2.png Writing - Harmonic Reduction https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1623162124920-338PN544DKCIDKYGXH25/6.png Writing - Harmonic Reduction https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1623163063380-I8QBR4DJKTIDSXSBI2FC/Beethoven+Pastorale+Modulation.png Writing - Harmonic Reduction - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607737818975-T4F9RC6MZ5660GUK7P0U/5.png Writing - Harmonic Reduction Figure 5. The emerging C major. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607737801458-F1IW18TAGMSSJEZTA4A8/4.png Writing - Harmonic Reduction https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607737861234-GDRBEYX77M6WY266YFNH/7.png Writing - Harmonic Reduction https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607737669442-B5YDVZV2W7W5JMYK5T35/1.png Writing - Harmonic Reduction https://www.jordanali.com/writing/modulation-practice monthly 0.5 2021-03-20 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607543772510-08RMRPFD7PDAFYWOVR5K/6+g+to+F+via+a.png Writing - Modulation Practice https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607543087680-PPJMR8AD5LTM9MMF94SH/3+C+to+F+via+a+E+closed.png Writing - Modulation Practice https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607543195741-2LDRM34TCKZYWGL975QV/4+C+to+F+via+a+d+open.png Writing - Modulation Practice https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607543801714-VMI8KAZWO4WKTAPZR9NI/Circle+of+fifths+illustration+of+C+to+D+via+b+mod.png Writing - Modulation Practice https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607542984070-L6F0M432X27C2AUZEEXW/1.png Writing - Modulation Practice https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607543888188-YZTBQ5MR4O8ASS44J0J1/9+F+to+bb+via+Gb.png Writing - Modulation Practice https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607543013457-3VRLFWEGY5JXKLV0CRV6/2.png Writing - Modulation Practice https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607543838973-34WCZSZ4Z71Z4WDRPTDT/8+to+D+via+b.png Writing - Modulation Practice https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1616198486667-MULG9T2VQFALVWK617GP/1.png Writing - Modulation Practice The function of the pivot chord 'turns' from being past-oriented to future-oriented once it is in the past. The Bb-F fifth in the IV6 chord reorients the ear to F, bringing the D minor along with it long after it is heard. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607543706892-DC76F22UGYYJP5K8XANV/5+g+to+Ab+via+c.png Writing - Modulation Practice https://www.jordanali.com/writing/modulation monthly 0.5 2023-09-05 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607131627917-JICAURQ51E63U7FV23BK/6.png Writing - Modulation https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607131652216-B7DO8ELTEZC9JG3S21N6/7.png Writing - Modulation https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607131563222-85E589OXUK6L171L0JR0/image-asset.png Writing - Modulation https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607131681957-SQ01TFC2HCHAO9EZ1ZQZ/8.png Writing - Modulation https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607131534347-39ZN5UKRDIBV7OUR6MPU/image-asset.png Writing - Modulation https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607131602597-TFMYQI71H3R3ID2UTCS8/image-asset.png Writing - Modulation https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607131699021-C5GP68SNAHT254UFIRA1/9.png Writing - Modulation https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607131581385-G0VVAGPO1Z1SDIG2WWLR/image-asset.png Writing - Modulation https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1607131515969-01VSM7O6H4M06N6ZZ64D/1.png Writing - Modulation https://www.jordanali.com/writing/the-bach-chorale monthly 0.5 2024-08-11 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1606770882606-4750UFNTWU6VZGYF4KB8/5.png Writing - The Bach Chorale Exercise https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1606770731130-RTI25RX2HI94VAP7PSLT/1.png Writing - The Bach Chorale Exercise https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1606770760810-4AS1WVMX9FIZY3GV7Y7M/2.png Writing - The Bach Chorale Exercise https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1606770858213-XIKCRT4EJNNZ9GVA5BG1/4.png Writing - The Bach Chorale Exercise https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/131d7cc7-3d26-4803-9557-3b1c13418da5/8.+Du+Friedefurst%2C+Herr+Jesu+Christ.png Writing - The Bach Chorale Exercise - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1606770820463-F85AISPFP3W6WDZCRH90/3.png Writing - The Bach Chorale Exercise https://www.jordanali.com/writing/cadences monthly 0.5 2021-02-22 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1606156638450-ID2XA6UE4IS4529EV3VC/9.png Writing - Cadences, Voice Leading, and Phrasing https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1606153017237-B16P7IGLVRDB96XQOL9P/14.png Writing - Cadences, Voice Leading, and Phrasing https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1606157629830-OA481EV3EL6OS5DQUTBA/11.png Writing - Cadences, Voice Leading, and Phrasing https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1606152712276-D3FKH3XRXHK8N1YIFZZ8/image-asset.png Writing - Cadences, Voice Leading, and Phrasing https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1606152737397-D2D00QYYG4F27Q5EKSHN/3.png Writing - Cadences, Voice Leading, and Phrasing https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1606152769267-OXZ87Y74BALD4LUITEJ7/image-asset.png Writing - Cadences, Voice Leading, and Phrasing https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1606157984158-YBWJ9WWRCDG5LSUZMNU7/12.png Writing - Cadences, Voice Leading, and Phrasing https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1606152607515-FULFV3E84U729G1CHSJV/1.png Writing - Cadences, Voice Leading, and Phrasing https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1606152807957-IN7ZSVNMXRVA9IIH73OM/6.png Writing - Cadences, Voice Leading, and Phrasing https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1606152843908-QWV0UIT317847A3N6RN5/8.png Writing - Cadences, Voice Leading, and Phrasing https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1606153081402-1PK1C9I3W2788GHGB7KU/16.png Writing - Cadences, Voice Leading, and Phrasing https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1606152998937-BOR6B5YQ6TRNWGYDKOQ0/13.png Writing - Cadences, Voice Leading, and Phrasing https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1606152828884-S1GJ9YWGJXAQRIM6NLBR/7.png Writing - Cadences, Voice Leading, and Phrasing https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1606152915966-HJTC4O52QAEL1NFKHFGZ/10.png Writing - Cadences, Voice Leading, and Phrasing https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1606153061191-M5X1RH3RHE13G5YNX484/15.png Writing - Cadences, Voice Leading, and Phrasing https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1606152794771-JS70Q5PU813YYGTQKHHG/image-asset.png Writing - Cadences, Voice Leading, and Phrasing https://www.jordanali.com/writing/chord-exercise monthly 0.5 2020-12-17 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605844774471-FJ4H6D5J2T9HNDSQME7Y/ZpdYAS5Hbe.png Writing - Exercise: Chord Progressions and Singing Intervals There are many different ways to harmonize a melody. This is also taken from Schoenberg's Theory of Harmony, in the section on chorale harmonization. Melodic Harmonization: https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605844739879-52ZPISTSWZ2I38ILLLTU/image-asset.png Writing - Exercise: Chord Progressions and Singing Intervals https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605844590005-02EBAEJK2WL2M8TWG7ZP/26.png Writing - Exercise: Chord Progressions and Singing Intervals https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605844658718-GB7KFMYPU85RGPGBLV88/PQNEtiWqmm.png Writing - Exercise: Chord Progressions and Singing Intervals https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605844793367-KQPD92QUBHV31P3IS37V/f7GWG7MBqd.png Writing - Exercise: Chord Progressions and Singing Intervals Check out the soprano voice in example 222. Each phrase is D-C-D-Eb. The phrases end on the fermatas. Over and over. As you can see, Schoenberg harmonizes those same three notes differently each time. The Eb is harmonized as the third of C minor, or the tonic of Eb major. Each cadence approaches these two tonalities differently. It’s a great study to get a sense of how diatonic chords offer a field day in the playground of musical composition. It all started with one note, and now we’re here! There is much more to come. The foundations will always bring you closer and closer to sound. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605844812673-HNN4RHMALMVH2MXNHHZV/image-asset.jpeg Writing - Exercise: Chord Progressions and Singing Intervals https://www.jordanali.com/writing/chords monthly 0.5 2020-12-21 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605726856200-UZV7Y6G612DHM31XKTU1/image-asset.png Writing - Major and Minor Chords and their Progressions Figure 19. The circle progression from C to C. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605726674417-QFFX30JIDL0B72CLG54F/15.png Writing - Major and Minor Chords and their Progressions Figure 15. The diatonic tonics, dominants, pre-dominants, and their alternatives. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605726801315-K66QCHEJKZCMYYV4WUDB/18.png Writing - Major and Minor Chords and their Progressions Figure 18. Nice! Now we've found the bass movement for a circle progression. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605727115620-QXA3K76PGUL0EZ14UDJM/image-asset.png Writing - Major and Minor Chords and their Progressions https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605840987325-2CWEEOXMS12XUK0YBBHH/25.5.png Writing - Major and Minor Chords and their Progressions Figure 25. The A minor scale and the diatonic chords in A minor. As you can see since F and G appear both natural and sharp in the scale, so every triad that has a F or G in it can come in two forms. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605725801302-VWX8BLB774YFPACR2XS4/image-asset.png Writing - Major and Minor Chords and their Progressions Figure 10. Always try to find the common tones between connecting chords and sustain them, which means keep them in the same voice that they are in. The voices are referred to as Soprano, Alto, Tenor, and Bass (from top to bottom), usually abbreviated as SATB. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605725554356-6DLPD37ZYG2U076R15VB/6.png Writing - Major and Minor Chords and their Progressions Figure 6. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605841064117-S91HF9D6Q535NF94DKVW/26.png Writing - Major and Minor Chords and their Progressions Figure 26. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605726462632-IB0BK6IWM0B052PZWNOK/image-asset.png Writing - Major and Minor Chords and their Progressions Figure 14. The IV prepares the ear for the V. The V prepares the ear for the I. Like a falling apple, the harmony moves closer and closer to the stable ground of C major. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605727036887-K11TNLXT108AZL5FKJL0/image-asset.png Writing - Major and Minor Chords and their Progressions Figure 24. Improved harmonization. The Minor Mode The minor scale has more notes in it, and therefore more harmonic possibilities. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605726393577-KWQ4D0VR26HQAV0C5DRZ/12.png Writing - Major and Minor Chords and their Progressions Figure 12. Dominant -> Tonic. The dominant chord prepares the ear for the tonic. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605727003520-BL5IBEKTAN9ZQYPOH0JG/image-asset.png Writing - Major and Minor Chords and their Progressions Figure 23. The diatonic triads of D major. B, the note in blue, appears in 3 chords. You can then harmonize B with the ii chord, or the IV chord, or the vi chord. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605725763923-CCZXSG1SP6H4RXMTWYK4/image-asset.png Writing - Major and Minor Chords and their Progressions Figure 9. We are open for business. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605726041763-5LWA59MLCPJ3RWTTNFBV/11.png Writing - Major and Minor Chords and their Progressions Figure 11. Moving from stability to instability. This series arranges the chords not based on their natural order in the scale but instead based on how close or far away the root is according to its overtone relation to the tonic. Remember back to the lesson on the intervals where Paul Hindemith arranges them from more consonant to more dissonant—"series 2", bringing it back to the laws of nature. Here the scale-triads of figure 5 are rearranged (and repositioned) to show their tonal significance. Chords that are closer to the tonic are more strongly charged to the tonic, and tones that are further away are less stable and more tonally ambiguous. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605725670128-5SLPFA58KKUSP6N0AT8H/image-asset.png Writing - Major and Minor Chords and their Progressions https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605726894458-LKB1MUDBE8WMQYMVCHVF/20.png Writing - Major and Minor Chords and their Progressions Figure 20. A cool bass line from a simple progression. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605725638531-93DT3HSIMO3GQZ7P0AZE/image-asset.png Writing - Major and Minor Chords and their Progressions Figure 7. Each tone is raised just one octave. When the root is the bottom most note in a triad then it is said to be in root position. The structure of the first and second inversions are shown here. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605726734032-T05KJN4JJWPUZW130HUI/16.png Writing - Major and Minor Chords and their Progressions Figure 16. Writing the chords this way of course is not musical but shows the power of thinking with chord representatives. Turning these chords into sound requires writing them down and voicing them and singing or playing them. Turning the sound into music requires phrasing. This goal is moving toward stability. But your goal could also be to move away from stability, so starting on a tonic and ending on a dominant. The logic to achieve that goal would be tonic -> predominant -> dominant. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605726948929-UK4D6X72OOPQTU0ECFFN/21.png Writing - Major and Minor Chords and their Progressions Figure 21. As you can see, most of the notes here are in the D major triad: D-F#-A. So, we've got our harmony! https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605726975204-KAR74QS45E559V6V7NQX/22.png Writing - Major and Minor Chords and their Progressions Figure 22. The ear is kept interested by inverting the triad. But there is one note, the B, that is not in the D major triad. How do we harmonize B? Simply find the chord that B appears in D major. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605726301483-MV04PRGOF0N302TDLQHH/11.5.png Writing - Major and Minor Chords and their Progressions Figure 11.5. (Treble clef not shown). How to experience the connection of the triads. Observe the common tones as you move from left to right in this series. The tonic and dominant share the G, the closest and strongest note to C in C major, and the supertonic and subtonic triads share 0 tones in common with the tonic triad. Again, this series improves organizing the diatonic (relating to the scale) triads by placing the chords according to their importance in stabilizing the tonic. As you’ll see, each chord has either a dominant, predominant, or tonic function given by their sound. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605725080229-VI0SFS1Q8MM2FQ5J925L/3.png Writing - Major and Minor Chords and their Progressions Figure 3. An augmented fifth is enharmonically equivalent to a minor sixth, and a diminished fifth is enharmonically equivalent to a tritone. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605725506017-MK7NBC5Y6Y7SWCCK5RPS/image-asset.png Writing - Major and Minor Chords and their Progressions Figure 5: The Roman numeral represents the name and corresponds to the scale degree as in Figure 4, but now it also represents the chord quality. Upper case numerals represent major triad, and the lowercase numerals represent a minor triad. The major and minor thirds are determined by the notes in the C major scale itself. The circle next to the vii represents a diminished triad. The fifth is diminished because F# is not in the C major scale. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605726759767-0M6QNNQBPV6X0EPMLO52/17.png Writing - Major and Minor Chords and their Progressions Figure 17. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605725037741-XW6W13CD6VD4YM7QKYIU/image-asset.png Writing - Major and Minor Chords and their Progressions Figure 2. When labeling triads with the note names, use upper case for Major and lower case for minor. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605726437415-NAURHO7EY4669VK8Y158/13.png Writing - Major and Minor Chords and their Progressions Figure 13. Subdominant -> Tonic. The subdominant also prepares the tonic but the preparation is more introverted because it is approaching the tonic from the lower fifth: F->C as opposed to the dominant C<-G which is more extroverted coming from the upper fifth. The subdominant is better known to prepare the dominant. In this sense, it is known as a predominant chord. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605725692720-BY49H1JSXE7N7DIFHDUR/8.5.png Writing - Major and Minor Chords and their Progressions Figure 8. The tonic chord is in root position and the dominant chord is in first inversion. That's some smooth voicing. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605725467570-X0R9Y1E5DKLHZ9CTIPHO/image-asset.png Writing - Major and Minor Chords and their Progressions Figure 4: The names of the notes. Numbers are the degree of the scale. Italics show the Solfege syllable. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605724960345-PVTXJ2L5GUNOZYPR9N3L/1.png Writing - Major and Minor Chords and their Progressions Figure 1. Each triad is composed of a root with its perfect fifth and third. https://www.jordanali.com/writing/the-tone-row-exercise monthly 0.5 2021-03-19 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605312144851-8UDRE6SN259IT8YZUU71/2.png Writing - The Tone Row Exercise Example 2. The cadence clearly starts on the A, exactly one note after the high point. But the exercise doesn’t always follow this pattern. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605312385017-B0KPPKJONW5DFDYHXLZK/Screen+Shot+2020-11-13+at+2.48.07+PM.png Writing - The Tone Row Exercise https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605312493250-5NDZK9OI2S3ICCO9R1PH/Aq5VelB6hD.png Writing - The Tone Row Exercise https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605312089608-JVBLW9YDGKB4SZLXDRN1/IMG_3854.png Writing - The Tone Row Exercise Figure 2. Analysis shows the high point and phrasing. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605312479874-1KE8CO9GQWSPXLWEIIO7/mfyN51VqJT.png Writing - The Tone Row Exercise https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605312318064-P9RI2M486YBK117C22Z9/aIfUQ1EFBU.png Writing - The Tone Row Exercise Example 5. In this example the fifths are introduced in a much different way. Even though the tonic is C the first harmonic group that we hear is built around Ab. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605312267433-CQQ40I1JS6N360K10DIC/37DKxHsTCM.png Writing - The Tone Row Exercise Example 4. In example four, the yellow notes are all notes close to C. The blue notes form a harmony around F# minor (F#-A-C#). The red indicates the turning point, and also highlights an interval of a diminished 7th. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605312031946-3XWW86KTLD7TIQDTHMEM/1.1.png Writing - The Tone Row Exercise Figure 1. Intervallic analysis https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605311994983-PDKV96ZXRDEZ8Y9TJUQS/Example+1. Writing - The Tone Row Exercise Example 1. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605312366913-HW5PR9V807L01BISIJVJ/Screen+Shot+2020-11-13+at+2.47.52+PM.png Writing - The Tone Row Exercise https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605312218783-G2LA1E237MLO1Y60K2QF/l4XVi23Nam.png Writing - The Tone Row Exercise Example 3. Always try and find any underlying harmonies in your tone rows. In this one, the first five notes clearly outline a C major triad (C-E-G), then the next triad that is heard is Cb major (Cb-Eb-Gb). My goal with writing this one was I was relying on the F in the cadence since it's so strongly a cadential note for C so I wanted to use it very early on. https://www.jordanali.com/writing/intervals monthly 0.5 2020-12-21 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605210244164-8VO17ASVDT2EXK7NJRRV/3.png Writing - The Musical Intervals Figure 3. Inverting each of the intervals in Figure 1 is done by raising the lower note one octave, and shows a new pattern of intervals, revealing a symmetry. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605210626037-Y2IA974YA4FRXAACYCAN/9.png Writing - The Musical Intervals Figure 9. The same tritone has the tendency to resolve in two ways, which can quickly open the doors to new harmonic possibilities. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605210299246-R8CYMIPZD8XSBO374XNA/4.png Writing - The Musical Intervals https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605210373792-NJXH8CMSIJGL2HX4TVYX/5.png Writing - The Musical Intervals Figure 5. A minor third up. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605210709369-45VTETXO96AYVZ6XHJKY/Stravinsky+Melodic+Analysis.png Writing - The Musical Intervals Figure 11. The melodies in the Rite of Spring are pretty simple. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605210743011-HBR91QDP8LCYRYGUD0DN/10.png Writing - The Musical Intervals Figure 12. Sing or play these pitches. How do each of the intervals contribute to the overall phrase? https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605210405612-HYF1H675TZ40GSIG2Y10/6.png Writing - The Musical Intervals Figure 6. A major sixth down. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605210325946-DQH1DWLNPXEKFJYLK1LZ/IMG_3834.png Writing - The Musical Intervals Figure 4. Series 2 from Paul Hindemith's Craft of Musical Composition https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605210436789-QCU0YWWCE0P4R0ULOUYC/7.png Writing - The Musical Intervals Figure 7. Ascending perfect fourths separated by a minor second. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605210832161-0IWTAD1K57RDLYC1PX0W/12.png Writing - The Musical Intervals Figure 14. Example of a 12 tone row exercise. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605210678911-SF45K31ERG8NLDEKV2A6/Whitney+Houston%27s+So+Emotional+by+Words+and+Music+Tom+Kelly+and+Billy+Steinberg.png Writing - The Musical Intervals Figure 10. Words and Music Tom Kelly and Billy Steinberg https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605210791105-HPQ2ORG3R0K3O2134ZEU/11.png Writing - The Musical Intervals Figure 13. Melodies are built from intervals. Each one contributes to the overall line of musical tension. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605210176427-BCTNC60HCM57F0XXC4B9/2.png Writing - The Musical Intervals Figure 2. The 12 possible intervals have labels that indicate their size (the distance expressed as number) and their quality (M for major, m for minor, and P for perfect). M3 is read as "major third," m6 is read as "minor sixth," and P4 is read as "perfect fourth." T.T. is the tritone. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605210471064-EUNOI3ATZNPPVUHRL164/8.png Writing - The Musical Intervals Figure 8. Fifths and fourths to study, which of the two tones is more stable? https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605210056844-IM6F78GWBFREUBZNANNZ/1.png Writing - The Musical Intervals Figure 1. The diatonic C major scale, built from major and minor seconds. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605210603139-AA1T6X80127FS5RL7WWF/Debussy+fifths.png Writing - The Musical Intervals Figure 9. Debussy's Nuages. You can see in the first violins (the second and third staff from the top) the rich series of fifths that help create his unique sound world. https://www.youtube.com/watch?v=s9rp2owmY7E https://www.jordanali.com/writing/harmonic-series-analysis monthly 0.5 2021-06-08 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605059712634-0PE6N2SJJFHOP52UZZHI/Harmonic+Series.png Writing - Discovering the Double: Harmonic Series Analysis Figure 2. Listen to the harmonic series here: https://alexanderchen.github.io/harmonics/ https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605059682816-1ST1M6GXH4MJJ6CBJR64/1.png Writing - Discovering the Double: Harmonic Series Analysis Figure 1. Rhythm usually has no place in the discussion of harmony—let's change that for the time being. The half and quarter note relation and the quarter and eighth note relation represent a lived 2:1 relation. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1605059805413-U7W2OEBFDUDDD0WR9F0P/Screen+Shot+2020-11-10+at+7.28.49+PM.png Writing - Discovering the Double: Harmonic Series Analysis Figure 3. Analysis of the overtones https://www.jordanali.com/writing/sound-fundamental-overtones monthly 0.5 2022-04-02 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1604887673446-TGZEJV0BL6Z156N9MT23/13.png Writing - Sound, Fundamentals, and Overtones Figure 13. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1604887418528-C7V9Y78VIGJA6EACX7NO/6.png Writing - Sound, Fundamentals, and Overtones Figure 6. Precise math sounds good. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1604978434911-2DL3NM3IMEXBPE0I91PR/11.jpeg Writing - Sound, Fundamentals, and Overtones Figure 11. The octave below sign (8vb) just applies to the fundamental tones. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1604887314232-XQHHX3OP48JO9M4KUXMM/4.png Writing - Sound, Fundamentals, and Overtones Figure 4. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1604887463322-609WRCIVO325M3S4N4K2/7.png Writing - Sound, Fundamentals, and Overtones Figure 7. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1604887204061-BBTYS01QDPF2YH7L3V5R/1.png Writing - Sound, Fundamentals, and Overtones Figure 1. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1604887352447-UW9A8T0RKT89YYXVUGJI/5.png Writing - Sound, Fundamentals, and Overtones Figure 5. The overtones emerge as fractional proportions of the fundamental. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1604887276718-L5KJWO5IFE3I8F1UIDV6/3.png Writing - Sound, Fundamentals, and Overtones Figure 3. The difference between the harmonics and the overtones is that the first note of the harmonic series is the fundamental, and the first overtone is the second harmonic. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1604887539726-ALVW3KZFB5C7KO1E3ZN7/9.png Writing - Sound, Fundamentals, and Overtones Figure 9. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1604887492064-VW4D3D7NKO130I0Q5D7K/8.png Writing - Sound, Fundamentals, and Overtones Figure 8. Movement from C to D is more than it seems at first. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1604887237596-03SAU970GLX1GITX4MYL/2.png Writing - Sound, Fundamentals, and Overtones Figure 2. A piano tone sounding on Fifth Ave. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1604887577097-L3VKD1WE1SDUA8E3A4ZT/10.png Writing - Sound, Fundamentals, and Overtones Figure 10. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1604887643718-ON518VXATZZJL3RJEOGA/12.png Writing - Sound, Fundamentals, and Overtones Figure 12. Series 1 from Hindemith’s Craft of Musical Composition. https://www.jordanali.com/writing/category/Composition monthly 0.5 https://www.jordanali.com/writing/category/14+Days+of+Harmony monthly 0.5 https://www.jordanali.com/writing/category/Listening+at+a+deeper+level monthly 0.5 https://www.jordanali.com/writing/category/Performance monthly 0.5 https://www.jordanali.com/writing/tag/Cadences monthly 0.5 https://www.jordanali.com/writing/tag/Intervals monthly 0.5 https://www.jordanali.com/writing/tag/Exercise monthly 0.5 https://www.jordanali.com/writing/tag/Chords monthly 0.5 https://www.jordanali.com/writing/tag/Listening monthly 0.5 https://www.jordanali.com/writing/tag/Modulation monthly 0.5 https://www.jordanali.com/writing/tag/Analysis monthly 0.5 https://www.jordanali.com/writing/tag/Understanding+Harmony monthly 0.5 https://www.jordanali.com/writing/tag/14+Days+of+Harmony monthly 0.5 https://www.jordanali.com/writing/tag/Melody monthly 0.5 https://www.jordanali.com/course daily 0.75 2025-05-25 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1610551785915-1MUHRJHXDVHAV6MCV8MG/1.png 14 Days of Musical Harmony Course https://www.jordanali.com/workshop daily 0.75 2023-03-29 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1610551961734-PX32MEQ8LESCRME66PMS/1.png Workshop - Make it stand out This chord progression begins in C and modulates to F. In the workshop, I’ll show you exactly how you can build your own expressive modulations from start to finish. When you can build one, you can build them all. Note: IV6 is shorthand for IVadd6, or ii65, a second inversion ii7 chord. Labeling the seventh chord in this progression as a IVadd6 is more helpful than writing ii7 because it brings attention to the fifth between Bb and F, instead of the fifth between G and D. In a classical cadence we are used to hearing the upper (V) and lower (IV) fifth, which is why the ear places greater importance on the fifth between Bb and F while establishing F as the home key. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/53d8db97-2573-4c0d-85a0-ff0bbd081055/Circle+of+Topics+in+Modulation.jpeg Workshop Why do a workshop on modulation? In harmony lessons, classical musicians are presented with modulation exercises to practice key changes, and to apply tonal harmony skills such as chord connections and key relations. Exercises like, modulate from G major to D major using an E minor pivot chord. Modulation, therefore, is usually left as an exercise, and as a thing that happens in tonal music. This workshop completely expands on the concepts of key relations and offers us a way to learn about music on a more holistic level through building more interesting and dramatic modulations to more distant keys on the circle of fifths by thinking about neutral fields of harmony. I teach a way of looking at harmony that makes being harmonically creative much easier. This develops our skill at part writing and helps us compose better for voices and instruments. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1624559602331-DZWA6T82BA0LB9I3HQRM/Screen+Shot+2021-06-23+at+4.05.00+PM.png Workshop - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://www.jordanali.com/compose daily 0.75 2021-09-04 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1630591158296-BCKINLWQRP1Z74YIYOGZ/unsplash-image-1Z2niiBPg5A.jpg Composition https://www.jordanali.com/preferences daily 0.75 2023-01-08 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/69508728-44bc-4851-84c3-acfe658fa39b/IMG_8666.jpg https://www.jordanali.com/composition daily 0.75 2023-09-05 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/880ffefb-84a8-4733-9598-86f869b90af1/IMG_0656.jpeg Music Analysis and Composition - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://www.jordanali.com/about daily 1.0 2025-09-22 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/f7263338-eb86-4308-92ce-2d498267aa39/2+Mqb+Villa+Lena-134+about.jpg About - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/08f1dd7c-7d20-4ee8-a2f5-bf24fc512368/11+fav+about+1440+px.jpg About - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1604080085189-1H7EGDGMZA2CKTNJYSUI/ira-selendripity-qUpzRaylopM-unsplash.jpg https://www.jordanali.com/press daily 0.75 2024-08-21 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/4c99efc0-536b-477a-9536-8600593841ee/Mqb+Villa+Lena-128.jpg Press - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/d52d9367-bcad-422b-8d96-0c379116f4ff/Mqb+Villa+Lena-139+fav+fav.jpg Press - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://www.jordanali.com/contact daily 0.75 2024-08-21 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/8ab24a23-c0eb-4333-9916-0bf166d2179b/08+fav+contact.jpg Contact - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://www.jordanali.com/projects daily 0.75 2021-01-23 https://www.jordanali.com/projects/ghostsofukraine monthly 0.5 2020-10-09 https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1602188174152-6BS6RSJMCG9WVSGPXFC4/Kyiv%2C+Ukraine.jpg Projects - Ghosts of Ukraine by Theodore Teris https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1602188494931-DPVH1E7IKWWQ3CSI3YPS/Ghosts+of+Ukraine+String+Quartet_0001.png Projects - Ghosts of Ukraine by Theodore Teris https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1602188495611-W59KRCR7ZJW67AEPMJ6C/Ghosts+of+Ukraine+String+Quartet_0002.png Projects - Ghosts of Ukraine by Theodore Teris https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1602188495138-X6FSU4M89UIM6AZU6176/Ghosts+of+Ukraine+String+Quartet_0003.png Projects - Ghosts of Ukraine by Theodore Teris https://images.squarespace-cdn.com/content/v1/5f7e8a7d23ad7c718c283374/1602188495250-VEKLUHB2JIVZF7RKY1ML/Ghosts+of+Ukraine+String+Quartet_0004.png Projects - Ghosts of Ukraine by Theodore Teris