r/microtonalโ€ข
fchang69

First JI scale demo & clarification of Huygens-Fokker scale list to 17-tone historical Arabic & Persian Scales

I've used AI to generate this more clear picture than having to count the steps through the whole set of 17 JI ratios listed above the steps sequences ๐Ÿ˜„

17-TONE ARABIC PYTHAGOREAN SCALE MODES

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Safi al-Din's maqam `Ussaq: 1/1 9/8 81/64 4/3 3/2 27/16 16/9 2/1

Safi al-Din's maqam Nawa: 1/1 9/8 32/27 4/3 3/2 128/81 16/9 2/1

Safi al-Din's maqam Abu Salik: 1/1 256/243 32/27 4/3 1024/729 128/81 16/9 2/1

Safi al-Din's maqam Rast: 1/1 9/8 8192/6561 4/3 3/2 32768/19683 16/9 2/1

Safi al-Din's maqam `Iraq: 1/1 65536/59049 8192/6561 4/3 262144/177147 32768/19683 16/9 1048576/531441 2/1

Safi al-Din's maqam Isfahan: 1/1 9/8 8192/6561 4/3 3/2 32768/19683 16/9 1048576/531441 2/1

DONE Safi al-Din's maqam Zirafkand: 1/1 65536/59049 32/27 4/3 262144/177147 128/81 32768/19683 4096/2187 2/1

Safi al-Din's maqam Buzurg: 1/1 65536/59049 8192/6561 4/3 262144/177147 3/2 27/16 4096/2187 2/1

Safi al-Din's maqam Zangulah: 1/1 9/8 8192/6561 4/3 262144/177147 32768/19683 16/9 2/1

Safi al-Din's maqam Rahawi: 1/1 65536/59049 8192/6561 4/3 262144/177147 128/81 16/9 2/1

Safi al-Din's maqam Husaini: 1/1 65536/59049 32/27 4/3 262144/177147 128/81 16/9 2/1

Safi al-Din's maqam Higazi: 1/1 65536/59049 32/27 4/3 262144/177147 32768/19683 16/9 2/1

al-Kindi's mode: 1/1 256/243 9/8 32/27 8192/6561 81/64 4/3 1024/729 3/2 128/81 32768/19683 27/16 16/9 4096/2187 2/1

Ishaq al-Mausili's mode: 1/1 256/243 9/8 32/27 81/64 4/3 1024/729 3/2 128/81 27/16 16/9 2/1

17-TONE PERSIAN SCALE MODES

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Dastgah-e Mahur, Rast Panjgah: 1/1 9/8 81/64 4/3 3/2 27/16 243/128 2/1

Dastgah-e Shur: 1/1 27/25 32/27 4/3 3/2 128/81 16/9 2/1

Naghmeh Abuata, Naghmeh Afshari: 1/1 27/25 243/200 25/18 36/25 81/50 729/400 2/1

Naghmeh Bayat-e Tork, Naghmeh Dashti: 1/1 9/8 81/64 4/3 3/2 27/16 729/400 2/1

Dastgah-e Homayun: 1/1 27/25 81/64 4/3 3/2 128/81 16/9 2/1

Naghmeh Esfahan: 1/1 9/8 32/27 4/3 3/2 81/50 243/128 2/1

Dastgah-e Sehgah (1): 1/1 9/8 243/200 4/3 3/2 81/50 16/9 2/1

Dastgah-e Sehgah (2): 1/1 27/25 243/200 4/3 36/25 81/50 729/400 2/1

Dastgah-e Mokhalif, Bayat-e Esfahan: 1/1 9/8 32/27 4/3 3/2 81/50 729/400 2/1

Dastgah-e Chahargah: 1/1 27/25 81/64 4/3 3/2 81/50 243/128 2/1

Dastgah-e Nava: 1/1 9/8 32/27 4/3 3/2 81/50 16/9 2/1

and using my Browser-Based Hex Keyboard ( https://handsearseyes.fun/Ears/HexKeyboard/HexKeyboard.php&ReferrerPost=Reddit-Microtonal-2026-04-28 ) new JI capability I've made this cale demo

https://www.youtube.com/watch?v=czngzEIinVs

Posted Apr 28, 2026, 7:12 PM UTC

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