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Imanuel's Zephyrine JI – A new just tuning

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Scala file contents

! Imanuel's Zephyrine JI.scl
!
A new just tuning, more info at http://imanuelhab.mooo.com/the_strangest_scales/zephyrine-just-tuning
 26
!
 14348907/14336000
 81/80
 1162261467/1146880000
 6561/6400
 3486784401/3211264000
 1594323/1433600
 9/8
 729/640
 31381059609/25690112000
 177147/143360
 10460353203/8028160000
 4782969/3584000
 387420489/286720000
 2187/1600
 531441/358400
 3/2
 43046721/28672000
 243/160
 19683/12800
 10460353203/6422528000
 59049/35840
 27/16
 129140163/71680000
 531441/286720
 177147/89600
 2/1

Prime factors and frequencies

Frequencies (Hz)

D♭ D♭ E♭ E♭ G♭ G♭ G♭ A♭ A♭ B♭ B♭
C C C♯ C♯ D D D♯ D♯ E E F F F♯ F♯ F♯ G G G♯ G♯ A A A♯ A♯ B B C C
264.7 264.9 268 268.2 271.3 287.4 294.3 297.7 301.5 323.3 327 344.8 353.2 357.6 361.8 392.4 397 397.3 401.9 407 431 436 446.6 476.8 490.5 523.3 529.3

Logarithmic frequency values (cents)

D♭ D♭ E♭ E♭ G♭ G♭ G♭ A♭ A♭ B♭ B♭
C C C♯ C♯ D D D♯ D♯ E E F F F♯ F♯ F♯ G G G♯ G♯ A A A♯ A♯ B B C C
0 3.4 46.6 50 93.2 308.8 398.6 441.8 488.4 750.6 793.8 992.7 1082.5 1129.1 1172.3 1477.7 1520.9 1524.3 1567.5 1614.1 1829.7 1872.9 1962.7 2208.2 2314.7 2556.8 2600
0 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 1400 1500 1600 1700 1800 1900 2000 2100 2200 2300 2400 2500 2600
0 -96.6 -153.4 -250 -306.8 -191.2 -201.4 -258.2 -311.6 -149.4 -206.2 -107.3 -117.5 -170.9 -227.7 -22.3 -79.1 -175.7 -232.5 -285.9 -170.3 -227.1 -237.3 -91.8 -85.3 56.8 0

Logarithmic frequency values (cents, for 12-ET with octave equivalence)

D♭ D♭ E♭ E♭ G♭ G♭ G♭ A♭ A♭ B♭ B♭
C C C♯ C♯ D D D♯ D♯ E E F F F♯ F♯ F♯ G G G♯ G♯ A A A♯ A♯ B B C C
0 1.6 21.5 23.1 43 142.5 184 203.9 225.4 346.4 366.4 458.1 499.6 521.1 541.1 682 702 703.5 723.5 745 844.5 864.4 905.9 1019.2 1068.3 1180.1 1200
0 0 0 0 0 100 200 200 200 300 400 500 500 500 500 700 700 700 700 700 800 900 900 1000 1100 1200 1200
0 1.6 21.5 23.1 43 42.5 -16 3.9 25.4 46.4 -33.6 -41.9 -0.4 21.1 41.1 -18 2 3.5 23.5 45 44.5 -35.6 5.9 19.2 -31.7 -19.9 0
C C C C C C♯ D D D D♯ E F F F F G G G G G G♯ A A A♯ B C C
D♭ E♭ A♭ B♭

Numerators

D♭ D♭ E♭ E♭ G♭ G♭ G♭ A♭ A♭ B♭ B♭
C C C♯ C♯ D D D♯ D♯ E E F F F♯ F♯ F♯ G G G♯ G♯ A A A♯ A♯ B B C C
1 14348907 81 1162261467 6561 3486784401 1594323 9 729 31381059609 177147 10460353203 4782969 387420489 2187 531441 3 43046721 243 19683 10460353203 59049 27 129140163 531441 177147 2
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 3 3 3 3 3 3 3
3 3 3 3 3 3 3 3 3 3
3 3 3 3 3 3 3 3 3
3 3 3 3 3 3 3 3
3 3 3 3 3 3 3
3 3 3 3 3 3
3 3 3 3 3
3 3 3 3
3 3 3
3

Denominators

D♭ D♭ E♭ E♭ G♭ G♭ G♭ A♭ A♭ B♭ B♭
C C C♯ C♯ D D D♯ D♯ E E F F F♯ F♯ F♯ G G G♯ G♯ A A A♯ A♯ B B C C
1 14336000 80 1146880000 6400 3211264000 1433600 8 640 25690112000 143360 8028160000 3584000 286720000 1600 358400 2 28672000 160 12800 6422528000 35840 16 71680000 286720 89600 1
7 5 7 5 7 7 2 5 7 7 7 7 7 5 7 2 7 5 5 7 7 2 7 7 7
5 2 5 5 7 5 2 2 7 5 7 5 5 5 5 5 2 5 7 5 2 5 5 5
5 2 5 2 5 5 2 2 5 2 5 5 5 2 5 5 2 2 5 2 2 5 2 5
5 2 5 2 5 2 2 5 2 5 5 5 2 2 5 2 2 5 2 2 5 2 2
2 2 5 2 5 2 2 5 2 5 2 5 2 2 2 2 2 5 2 5 2 2
2 2 2 2 2 2 2 2 5 2 2 2 2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2
2 2 2 2 2 2
2 2 2 2 2 2
2 2 2 2 2
2 2 2 2 2
2 2 2 2
2 2
2
2

Intervals

1 14348907 81 1162261467 6561 3486784401 1594323 9 729 31381059609 177147 10460353203 4782969 387420489 2187 531441 3 43046721 243 19683 10460353203 59049 27 129140163 531441 177147 2
1 14336000 80 1146880000 6400 3211264000 1433600 8 640 25690112000 143360 8028160000 3584000 286720000 1600 358400 2 28672000 160 12800 6422528000 35840 16 71680000 286720 89600 1

Shift intervals in table



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