User:FloraC/Sandbox: Difference between revisions

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== Intervals of 87edo ==
{| class="wikitable right-2 right-4"
!#
!Cents
!Approximated Ratios
!Ups and Downs Notation
!Solfege
|-
|0
|0.000
|1/1
|D
|
|-
|1
|13.793
|126/125, 100/99, 91/90
|^D
|
|-
|2
|27.586
|81/80, 64/63, 49/48, 55/54, 65/64
|^^D
|
|-
|3
|41.379
|50/49, 45/44
|^^^D/vvvEb
|
|-
|4
|55.172
|28/27, 36/35, 33/32
|vvEb
|
|-
|5
|68.966
|25/24, 27/26, 26/25
|vEb
|
|-
|6
|82.759
|21/20, 22/21
|Eb
|
|-
|7
|96.552
|35/33
|^Eb
|
|-
|8
|110.345
|16/15
|^^Eb
|
|-
|9
|124.138
|15/14, 14/13
|^^^Eb
|
|-
|10
|137.931
|13/12
|^^^^Eb
|
|-
|11
|151.724
|12/11
|vvvvE
|
|-
|12
|165.517
|11/10
|vvvE
|
|-
|13
|179.310
|10/9
|vvE
|
|-
|14
|193.103
|28/25
|vE
|
|-
|15
|206.897
|9/8
|E
|
|-
|16
|220.690
|25/22
|^E
|
|-
|17
|234.483
|8/7
|^^E
|
|-
|18
|248.276
|15/13
|^^^E/vvvF
|
|-
|19
|262.089
|7/6
|vvF
|
|-
|20
|275.862
|75/64
|vF
|
|-
|21
|289.655
|33/28, 13/11
|F
|
|-
|22
|303.448
|25/21, 105/88
|^F
|
|-
|23
|317.241
|6/5
|^^F
|
|-
|24
|331.034
|63/52
|^^^F
|
|-
|25
|344.828
|11/9, 39/32
|^^^^F
|
|-
|26
|358.621
|27/22, 16/13
|vvvvF#
|
|-
|27
|372.414
|26/21
|vvvF#
|
|-
|28
|386.207
|5/4
|vvF#
|
|-
|29
|400.000
|63/50, 44/35
|vF#
|
|-
|30
|413.793
|14/11, 33/26
|F#
|
|-
|31
|427.586
|32/25
|^F#
|
|-
|32
|441.379
|9/7
|^^F#
|
|-
|33
|455.172
|13/10
|^^^F#/vvvG
|
|-
|34
|468.966
|21/16
|vvG
|
|-
|35
|482.759
|33/25
|vG
|
|-
|36
|496.552
|4/3
|G
|
|-
|37
|510.345
|75/56
|^G
|
|-
|38
|524.138
|27/20
|^^G
|
|-
|39
|537.931
|15/11
|^^^G
|
|-
|40
|551.724
|11/8
|^^^^G
|
|-
|41
|565.517
|18/13
|vvvvG#, vAb
|
|-
|42
|579.310
|7/5, 39/28
|vvvG#, Ab
|
|-
|43
|593.103
|45/32
|vvG#, ^Ab
|
|}
|}

Revision as of 14:59, 12 June 2020

7-Limit Intervals

7-limit, 81-odd-limit intervals.

Interval Class Wa Intervals Yo/Gu Intervals Zo/Ru Intervals Ruyo/Zogu Intervals Yoyo/Gugu Intervals Zozo/Ruru Intervals Zoyo/Rugu Intervals Biruyo/Bizogu Intervals
Traditional Name Fifth steps Ratio Cent Ratio Cent Ratio Cent Ratio Cent Ratio Cent Ratio Cent Ratio Cent Ratio Cent
Negative diminshed 2nd +12 50/49 34.976
Perfect 1sn 0 1/1 0 81/80 21.506 64/63 27.264 36/35 48.770
Augmented 1sn +7 15/14 119.443 25/24 70.672 54/49 168.213
Minor 2nd -5 16/15 111.731 28/27 62.961 21/20 84.467 27/25 133.238 49/48 35.697
Major 2nd +2 9/8 203.910 10/9 182.404 8/7 231.174 81/70 252.680
Augmented 2nd +9 75/64 274.582
Minor 3rd -3 32/27 294.135 6/5 315.641 7/6 266.871
Major 3rd +4 81/64 407.820 5/4 386.313 9/7 435.084 80/63 413.578 64/49 462.348
Diminished 4th -8 56/45 378.602 32/25 427.373
Perfect 4th -1 4/3 498.045 27/20 519.551 21/16 470.781 35/27 449.275
Augmented 4th +6 45/32 590.224 81/56 638.994 10/7 617.488
Diminshed 5th -6 64/45 609.776 112/81 561.006 7/5 582.512
Perfect 5th +1 3/2 701.955 40/27 680.449 32/21 729.219 54/35 750.725
Augmented 5th +8 45/28 821.398 25/16 772.627
Minor 6th -4 128/81 792.180 8/5 813.687 14/9 764.916 63/40 786.422 49/32 737.652
Major 6th +3 27/16 905.865 5/3 884.339 12/7 933.129
Diminished 7th -9 128/75 925.418
Minor 7th -2 16/9 996.090 9/5 1017.596 7/4 968.826 140/81 947.320
Major 7th +5 15/8 1088.269 27/14 1131.039 40/21 1115.533 50/27 1066.762 96/49 1164.303
Diminished 8ve -7 28/15 1080.557 48/25 1129.328 49/27 1031.787
Perfect 8ve 0 2/1 1200 160/81 1178.494 63/32 1172.736 35/18 1151.230
Diminished 9th -12 49/25 1165.028
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