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15,235 edits
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15,235 edits
Compress table
Line 23: Line 23:
|+ style="font-size: 105%;" | Archy (2.3.7)
|+ style="font-size: 105%;" | Archy (2.3.7)
|-
|-
! #
! # !! Cents !! Approximate Ratios
! Cents*
! Approximate Ratios
|-
|-
| 0
| 0 || 0.0 || '''1/1'''
| 0.0
| '''1/1'''
|-
|-
| 1
| 1 || 709.745 || '''3/2'''
| 709.745
| '''3/2'''
|-
|-
| 2
| 2 || 219.489 || '''8/7''', '''9/8'''
| 219.489
| '''8/7''', '''9/8'''
|-
|-
| 3
| 3 || 929.234 || 12/7
| 929.234
| 12/7
|-
|-
| 4
| 4 || 438.979 || 9/7
| 438.979
| 9/7
|-
|-
| 5
| 5 || 1148.724 || 27/14
| 1148.724
| 27/14
|-
|-
| 6
| 6 || 658.468 || 72/49, 81/56
| 658.468
| 72/49, 81/56
|-
|-
| 7
| 7 || 168.213 || 54/49
| 168.213
| 54/49
|}
|}


Line 63: Line 45:
|+ style="font-size: 105%;" | Supra (2.3.7.11)
|+ style="font-size: 105%;" | Supra (2.3.7.11)
|-
|-
! #
! # !! Cents !! Approximate Ratios
! Cents*
! Approximate Ratios
|-
|-
| 0
| 0 || 0.0 || '''1/1'''
| 0.0
| '''1/1'''
|-
|-
| 1
| 1 || 709.745 || '''3/2'''
| 709.745
| '''3/2'''
|-
|-
| 2
| 2 || 219.489 || '''8/7''', '''9/8'''
| 219.489
| '''8/7''', '''9/8'''
|-
|-
| 3
| 3 || 929.234 || 12/7
| 929.234
| 12/7
|-
|-
| 4
| 4 || 438.979 || 9/7, 14/11
| 438.979
| 9/7, 14/11
|-
|-
| 5
| 5 || 1148.724 || 21/11, 27/14, 64/33
| 1148.724
| 21/11, 27/14, 64/33
|-
|-
| 6
| 6 || 658.468 || '''16/11'''
| 658.468
| '''16/11'''
|-
|-
| 7
| 7 || 168.213 || 12/11
| 168.213
| 12/11
|}
|}


Line 103: Line 67:
|+ style="font-size: 105%;" | Full 7-limit superpyth
|+ style="font-size: 105%;" | Full 7-limit superpyth
|-
|-
! rowspan="2" | #
! rowspan="2" | # !! rowspan="2" | Cents !! colspan="3" | Approximate Ratios
! rowspan="2" | Cents*
! colspan="3" | Approximate Ratios
|-
|-
! 7-limit
! 7-limit !! 11-limit Extension<br>(Superpyth) !! 11-limit Extension<br>(Suprapyth)
! 11-limit Extension<br>(Superpyth)
! 11-limit Extension<br>(Suprapyth)
|-
|-
| 0
| 0 || 0.0 || '''1/1''' || ||
| 0.0
| '''1/1'''
|
|
|-
|-
| 1
| 1 || 709.745 || '''3/2''' || ||
| 709.745
| '''3/2'''
|
|
|-
|-
| 2
| 2 || 219.489 || '''8/7''', '''9/8''' || ||
| 219.489
| '''8/7''', '''9/8'''
|
|
|-
|-
| 3
| 3 || 929.234 || 12/7 || ||
| 929.234
| 12/7
|
|
|-
|-
| 4
| 4 || 438.979 || 9/7 || || 14/11
| 438.979
| 9/7
|
| 14/11
|-
|-
| 5
| 5 || 1148.724 || 27/14, 35/18 || 88/45 || 21/11, 64/33
| 1148.724
| 27/14, 35/18
| 88/45
| 21/11, 64/33
|-
|-
| 6
| 6 || 658.468 || 35/24, 40/27 || 22/15 || '''16/11'''
| 658.468
| 35/24, 40/27
| 22/15
| '''16/11'''
|-
|-
| 7
| 7 || 168.213 || 10/9 || 11/10 || 12/11
| 168.213
| 10/9
| 11/10
| 12/11
|-
|-
| 8
| 8 || 877.958 || 5/3 || 33/20 || 18/11
| 877.958
| 5/3
| 33/20
| 18/11
|-
|-
| 9
| 9 || 387.703 || '''5/4''' || || 27/22
| 387.703
| '''5/4'''
|
| 27/22
|-
|-
| 10
| 10 || 1097.447 || 15/8, 40/21 || ||
| 1097.447
| 15/8, 40/21
|  
|  
|-
|-
| 11
| 11 || 607.192 || 10/7 || ||
| 607.192
| 10/7
|  
|  
|-
|-
| 12
| 12 || 116.937 || 15/14 || ||
| 116.937
| 15/14
|  
|  
|-
|-
| 13
| 13 || 826.682 || 45/28 || 44/27 ||
| 826.682
| 45/28
| 44/27
|  
|-
|-
| 14
| 14 || 336.426 || 60/49 || 11/9 || 40/33
| 336.426
| 60/49
| 11/9
| 40/33
|-
|-
| 15
| 15 || 1046.171 || 50/27 || 11/6 || 20/11
| 1046.171
| 50/27
| 11/6
| 20/11
|-
|-
| 16
| 16 || 555.916 || 25/18 || '''11/8''' || 15/11
| 555.916
| 25/18
| '''11/8'''
| 15/11
|-
|-
| 17
| 17 || 65.661 || 25/24 || 22/21, 33/32 || 45/44
| 65.661
| 25/24
| 22/21, 33/32
| 45/44
|}
|}


Line 240: Line 128:
=== Prime-optimized tunings ===
=== Prime-optimized tunings ===
{| class="wikitable mw-collapsible mw-collapsed"
{| class="wikitable mw-collapsible mw-collapsed"
|+style=white-space:nowrap | 2.3.7 Subgroup Prime-Optimized Tunings
|+ style="font-size: 105%; white-space: nowrap;" | 2.3.7 Subgroup Prime-Optimized Tunings
|-
|-
! Weight-skew\Order !! Euclidean
! Weight-skew\Order !! Euclidean
Line 258: Line 146:


{| class="wikitable mw-collapsible mw-collapsed"
{| class="wikitable mw-collapsible mw-collapsed"
|+style=white-space:nowrap | 7-limit Prime-Optimized Tunings
|+ style="font-size: 105%; white-space: nowrap;" | 7-limit Prime-Optimized Tunings
|-
|-
! Weight-skew\Order !! Euclidean
! Weight-skew\Order !! Euclidean
Retrieved from "https://en.xen.wiki/w/Superpyth"