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Imanuel's Quarter major thirds JI – A new just tuning

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Scala file contents

! Imanuel's Quarter major thirds JI.scl
!
A new just tuning, more info at http://imanuelhab.mooo.com/quarter-major-thirds-just-tuning
 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

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