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Imanuel's Quarter major thirds JI ⋄ A new just tuning ⋄
Scala file contents
! Imanuel's Quarter major thirds JI.scl ! A new just tuning, more info at http://imanuelhab.mooo.com/functional-web-language/fwd-to-html.php?q=the_strangest_scales%2Fquarter-major-thirds-just-tuning.fwd 12 ! 15/14 10/9 13/11 5/4 4/3 17/12 3/2 19/12 5/3 23/13 15/8 2/1
Prime factors and frequencies
Frequencies (Hz) | ||||||||||||
| D♭ | E♭ | G♭ | A♭ | B♭ | ||||||||
| C | C♯ | D | D♯ | E | F | F♯ | G | G♯ | A | A♯ | B | C |
| 261.6 | 280.3 | 290.7 | 309.2 | 327 | 348.8 | 370.6 | 392.4 | 414.2 | 436 | 462.9 | 490.5 | 523.3 |
Logarithmic frequency values (cents) | ||||||||||||
| D♭ | E♭ | G♭ | A♭ | B♭ | ||||||||
| C | C♯ | D | D♯ | E | F | F♯ | G | G♯ | A | A♯ | B | C |
| 0 | 119.4 | 182.4 | 289.2 | 386.3 | 498 | 603 | 702 | 795.6 | 884.4 | 987.7 | 1088.3 | 1200 |
| 0 | 100 | 200 | 300 | 400 | 500 | 600 | 700 | 800 | 900 | 1000 | 1100 | 1200 |
| 0 | 19.4 | -17.6 | -10.8 | -13.7 | -2 | 3 | 2 | -4.4 | -15.6 | -12.3 | -11.7 | 0 |
Numerators | ||||||||||||
| D♭ | E♭ | G♭ | A♭ | B♭ | ||||||||
| C | C♯ | D | D♯ | E | F | F♯ | G | G♯ | A | A♯ | B | C |
| 1 | 15 | 10 | 13 | 5 | 4 | 17 | 3 | 19 | 5 | 23 | 15 | 2 |
| 5 | 5 | 13 | 5 | 2 | 17 | 3 | 19 | 5 | 23 | 5 | 2 | |
| 3 | 2 | 2 | 3 | |||||||||
Denominators | ||||||||||||
| D♭ | E♭ | G♭ | A♭ | B♭ | ||||||||
| C | C♯ | D | D♯ | E | F | F♯ | G | G♯ | A | A♯ | B | C |
| 1 | 14 | 9 | 11 | 4 | 3 | 12 | 2 | 12 | 3 | 13 | 8 | 1 |
| 7 | 3 | 11 | 2 | 3 | 3 | 2 | 3 | 3 | 13 | 2 | ||
| 2 | 3 | 2 | 2 | 2 | 2 | |||||||
| 2 | 2 | 2 | ||||||||||
Intervals | ||||||||||||
| 1 | 15 | 10 | 13 | 5 | 4 | 17 | 3 | 19 | 5 | 23 | 15 | 2 |
| 1 | 14 | 9 | 11 | 4 | 3 | 12 | 2 | 12 | 3 | 13 | 8 | 1 |
Shift intervals in table | ||||||||||||
Other tunings
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