Garibaldi: Difference between revisions

Mention the various extensions
Improve interval table
Line 7: Line 7:


{| class="wikitable center-1 right-2"
{| class="wikitable center-1 right-2"
! #
! rowspan="2" | #
! Cents*
! rowspan="2" | Cents*
! Approximate Ratios
! colspan="4" | Approximate Ratios
|-
!7-limit
!13-limit Extension<br>Cassandra Mapping
!13-limit Extension<br>Andromeda Mapping
!13-limit Extension<br>Helenus Mapping
|-
|-
| 0
| 0
| 0.0
| 0.0
| 1/1
| 1/1
|
|
|
|-
|-
| 1
| 1
| 702.1
| 702.1
| '''3/2'''
| '''3/2'''
|
|
|
|-
|-
| 2
| 2
| 204.2
| 204.2
| 9/8
| 9/8
|
|
|
|-
|-
| 3
| 3
| 906.3
| 906.3
| 22/13, 27/16
| 27/16, 42/25
| 22/13
| 22/13
| 22/13
|-
|-
| 4
| 4
| 408.5
| 408.3
| 33/26, 63/50
| 63/50, 80/63
|
| 14/11
|
|-
|-
| 5
| 5
| 1110.6
| 1110.4
| 40/21
| 40/21
|
| 21/11
|
|-
|-
| 6
| 6
| 612.7
| 612.5
| 10/7
| 10/7
|
|
|
|-
|-
| 7
| 7
| 114.8
| 114.6
| 15/14, 16/15
| 15/14, 16/15
|
| 14/13
|
|-
|-
| 8
| 8
| 816.9
| 816.7
| '''8/5'''
| '''8/5'''
|
| 21/13
|
|-
|-
| 9
| 9
| 319.0
| 318.8
| 6/5
| 6/5
|
| 40/33
|
|-
|-
| 10
| 10
| 1021.1
| 1020.9
| 9/5
| 9/5
|
| 20/11
|
|-
|-
| 11
| 11
| 523.2
| 522.9
| 27/20
| 27/20
|
| 15/11
|
|-
|-
| 12
| 12
| 25.4
| 25.0
| 50/49, 64/63, 81/80
| 50/49, 64/63, 81/80
|
| 40/39, 45/44
|
|-
|-
| 13
| 13
| 727.5
| 727.1
| 32/21
| 32/21
|
| 20/13
|
|-
|-
| 14
| 14
| 229.6
| 229.2
| '''8/7'''
| '''8/7'''
|
| 15/13
|
|-
|-
| 15
| 15
| 931.7
| 931.3
| 12/7
| 12/7
|
|
|
|-
|-
| 16
| 16
| 433.8
| 433.4
| 9/7
| 9/7
|
|
| 14/11
|-
|-
| 17
| 17
| 1135.9
| 1135.4
| 27/14, 48/25
| 27/14, 48/25
| 52/27
| 64/33
| 21/11
|-
|-
| 18
| 18
| 638.0
| 637.5
| 36/25, 81/56
| 13/9
| 13/9
| '''16/11'''
|
|-
|-
| 19
| 19
| 140.1
| 139.6
| 27/25
| 13/12
| 13/12
| 12/11
| 14/13
|-
|-
| 20
| 20
| 842.3
| 841.7
| '''13/8'''
| 80/49, 81/50
| '''13/8''', 44/27
| 18/11, 64/39
| 21/13
|-
|-
| 21
| 21
| 344.4
| 343.8
| 11/9
| 60/49
| 11/9, 39/32
| '''16/13''', 27/22
| 40/33
|-
|-
| 22
| 22
| 1046.5
| 1045.9
| 64/35
| 11/6
| 11/6
| 24/13
| 20/11
|-
|-
| 23
| 23
| 548.6
| 548.0
| 48/35
| '''11/8'''
| '''11/8'''
| 18/13
| 15/11
|-
|-
| 24
| 24
| 50.7
| 50.0
| 33/32, 36/35
| 36/35
| 33/32
| 27/26
| 40/39, 45/44
|-
|-
| 25
| 25
| 752.8
| 752.1
| 54/35
| 54/35
|
|
| 20/13
|-
|-
| 26
| 26
| 254.9
| 254.2
| 81/70
| 81/70, 144/125
|
|
| 15/13
|-
|-
| 27
| 27
| 957.0
| 956.3
| 15/13
| 216/125, 256/147
| 26/15
|
|
|-
|-
| 28
| 28
| 459.2
| 458.4
| 64/49
| 13/10
| 13/10
|
|
|-
|-
| 29
| 29
| 1161.3
| 1160.5
| 39/20, 88/45, 96/49
| 96/49
| 39/20, 88/45
|
| 64/33
|}
|}
<nowiki>*</nowiki> in 13-limit POTE tuning
<nowiki>*</nowiki> in 7-limit POTE tuning


== Scales ==
== Scales ==