Superpyth: Difference between revisions

Not worth of readers' time
Tag: Undo
Interval chains: rework for readability
Line 19: Line 19:
== Interval chains ==
== Interval chains ==
; Archy (2.3.7)
; Archy (2.3.7)
 
{| class="wikitable center-1 right-2"
{| class="wikitable center-all"
|-
! #
! Cents
! Approximate Ratios
|-
|-
| 1146.61
| 437.29
| 927.97
| 218.64
| 709.32
| 0
| 0
| 490.68
| 0.0
| 981.36
| '''1/1'''
| 272.03
| 762.71
| 53.39
|-
|-
| 1
| 709.3
| '''3/2'''
|-
| 2
| 218.6
| '''8/7''', '''9/8'''
|-
| 3
| 928.0
| 12/7
|-
| 4
| 437.3
| 9/7
|-
| 5
| 1146.6
| 27/14
| 27/14
| 9/7
| 12/7
| 9/8~8/7
| 3/2
| 1/1
| 4/3
| 7/4~16/9
| 7/6
| 14/9
| 28/27
|}
|}


; Full 7-limit superpyth
; Full 7-limit superpyth
 
{| class="wikitable center-1 right-2"
{| class="wikitable center-all"
|-
! #
! Cents
! Approximate Ratios
|-
|-
| 613.20
| 1102.91
| 392.62
| 882.33
| 172.04
| 661.75
| 1151.46
| 441.16
| 930.87
| 220.58
| 710.29
| 0
| 0
| 489.71
| 0.0
| 979.42
| '''1/1'''
| 269.13
|-
| 758.84
| 1
| 48.54
| 710.3
| 538.25
| '''3/2'''
| 1027.96
|-
| 317.67
| 2
| 807.38
| 220.6
| 97.09
| '''8/7''', '''9/8'''
| 586.80
|-
| 3
| 930.9
| 12/7
|-
|-
| 4
| 441.2
| 9/7
|-
| 5
| 1151.5
| 27/14
|-
| 6
| 661.7
| 40/27
|-
| 7
| 172.0
| 10/9
|-
| 8
| 882.3
| 5/3
|-
| 9
| 392.6
| '''5/4'''
|-
| 10
| 1102.9
| 15/8
|-
| 11
| 613.2
| 10/7
| 10/7
| 15/8
| 5/4
| 5/3
| 10/9
|
| 27/14
| 9/7
| 12/7
| 9/8~8/7
| 3/2
| 1/1
| 4/3
| 7/4~16/9
| 7/6
| 14/9
| 28/27
|
| 9/5
| 6/5
| 8/5
| 16/15
| 7/5
|}
|}


; Supra (2.3.7.11)
; Supra (2.3.7.11)
 
{| class="wikitable center-1 right-2"
{| class="wikitable center-all"
|-
! #
! Cents
! Approximate Ratios
|-
|-
| 857.54
| 150.35
| 643.15
| 1135.96
| 428.77
| 921.58
| 214.38
| 707.19
| 0
| 0
| 492.81
| 0.0
| 985.62
| '''1/1'''
| 278.42
|-
| 771.23
| 1
| 64.04
| 707.2
| 556.85
| '''3/2'''
| 1049.65
|-
| 342.46
| 2
| 214.4
| '''8/7''', '''9/8'''
|-
| 3
| 921.6
| 12/7
|-
| 4
| 428.8
| 9/7, 14/11
|-
| 5
| 1136.0
| 27/14, 64/33
|-
| 6
| 643.2
| '''16/11'''
|-
| 7
| 150.4
| 12/11
|-
|-
| 8
| 857.5
| 18/11
| 18/11
| 12/11
| 16/11
| 27/14
| 14/11~9/7
| 12/7
| 9/8~8/7
| 3/2
| 1/1
| 4/3
| 7/4~16/9
| 7/6
| 14/9~11/7
| 33/32~28/27
| 11/8
| 11/6
| 11/9
|}
|}


; Full 11-limit suprapyth
; Full 11-limit suprapyth
 
{| class="wikitable center-1 right-2"
{| class="wikitable center-all"
|-
! #
! Cents
! Approximate Ratios
|-
|-
| 604.44
| 1094.94
| 385.45
| 875.96
| 166.46
| 656.97
| 1147.47
| 437.98
| 928.48
| 218.99
| 709.49
| 0
| 0
| 490.51
| 0.0
| 981.01
| '''1/1'''
| 271.52
|-
| 762.02
| 1
| 52.53
| 709.5
| 543.03
| '''3/2'''
| 1033.54
|-
| 324.04
| 2
| 814.55
| 219.0
| 105.06
| '''8/7''', '''9/8'''
| 595.56
|-
| 3
| 928.5
| 12/7
|-
| 4
| 438.0
| 9/7, 14/11
|-
| 5
| 1147.5
| 27/14, 64/33
|-
| 6
| 657.0
| '''16/11''', 40/27
|-
| 7
| 166.5
| 10/9, 12/11
|-
| 8
| 876.0
| 5/3, 18/11
|-
| 9
| 385.4
| '''5/4''', 27/22
|-
| 10
| 1094.9
| 15/8
|-
|-
| 11
| 604.4
| 10/7
| 10/7
| 15/8
| 5/4
| 18/11~5/3
| 12/11~10/9
| 16/11
| 27/14
| 14/11~9/7
| 12/7
| 9/8~8/7
| 3/2
| 1/1
| 4/3
| 7/4~16/9
| 7/6
| 14/9~11/7
| 33/32~28/27
| 11/8
| 9/5~11/6
| 6/5~11/9
| 8/5
| 16/15
| 7/5
|}
|}