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Superpyth: Difference between revisions

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m →Interval chains: Space tables inline
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m Restoring CTE cent values, as they are better suited than 2/7-comma at comparing distinct "flavours" of superpyth tunings.
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== Interval chains ==
== Interval chains ==
The following tables show the intervals of {{frac|2|7}} septimal comma superpyth, where the fifth is approximately 709.745{{cent}}. Odd harmonics 1–11 are in '''bold'''.
In these tables, odd harmonics 1–11 are in '''bold'''.


<div><div style="display: inline-grid; margin-right: 25px;">
<div><div style="display: inline-grid; margin-right: 25px;">
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|+ style="font-size: 105%;" | Archy (2.3.7)
|+ style="font-size: 105%;" | Archy (2.3.7)
|-
|-
! &#35; !! Cents !! Approximate Ratios
! &#35; !! Cents&#42; !! Approximate Ratios
|-
|-
| 0 || 0.0 || '''1/1'''
| 0 || 0.0 || '''1/1'''
|-
|-
| 1 || 709.745 || '''3/2'''
| 1 || 709.6 || '''3/2'''
|-
|-
| 2 || 219.489 || '''8/7''', '''9/8'''
| 2 || 219.2 || '''8/7''', '''9/8'''
|-
|-
| 3 || 929.234 || 12/7
| 3 || 928.8 || 12/7
|-
|-
| 4 || 438.979 || 9/7
| 4 || 438.4 || 9/7
|-
|-
| 5 || 1148.724 || 27/14
| 5 || 1148.0 || 27/14
|-
|-
| 6 || 658.468 || 72/49, 81/56
| 6 || 657.6 || 72/49, 81/56
|-
|-
| 7 || 168.213 || 54/49
| 7 || 167.2 || 54/49
|- style="border-top: double;"
| colspan="3" style="font-size: 0.75em; text-align: left;" | &#42;&thinsp;In 2.3.7-subgroup [[CTE]] tuning
|}
|}
</div>
</div>
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|+ style="font-size: 105%;" | Supra (2.3.7.11)
|+ style="font-size: 105%;" | Supra (2.3.7.11)
|-
|-
! &#35; !! Cents !! Approximate Ratios
! &#35; !! Cents&#42; !! Approximate Ratios
|-
|-
| 0 || 0.0 || '''1/1'''
| 0 || 0.0 || '''1/1'''
|-
|-
| 1 || 709.745 || '''3/2'''
| 1 || 708.5 || '''3/2'''
|-
|-
| 2 || 219.489 || '''8/7''', '''9/8'''
| 2 || 216.9 || '''8/7''', '''9/8'''
|-
|-
| 3 || 929.234 || 12/7
| 3 || 925.4 || 12/7
|-
|-
| 4 || 438.979 || 9/7, 14/11
| 4 || 433.8 || 9/7, 14/11
|-
|-
| 5 || 1148.724 || 21/11, 27/14, 64/33
| 5 || 1142.3 || 21/11, 27/14, 64/33
|-
|-
| 6 || 658.468 || '''16/11'''
| 6 || 650.7 || '''16/11'''
|-
|-
| 7 || 168.213 || 12/11
| 7 || 159.2 || 12/11
|- style="border-top: double;"
| colspan="3" style="font-size: 0.75em; text-align: left;" | &#42;&thinsp;In 2.3.7.11-subgroup CTE tuning
|}
|}
</div>
</div>
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|+ style="font-size: 105%;" | Full 7-limit superpyth
|+ style="font-size: 105%;" | Full 7-limit superpyth
|-
|-
! rowspan="3" | &#35; !! rowspan="3" | Cents !! colspan="3" | Approximate Ratios
! rowspan="3" | &#35; !! rowspan="3" | Cents&#42; !! colspan="3" | Approximate Ratios
|-
|-
! rowspan="2" | 7-limit !! colspan="2" | 11-limit Extension
! rowspan="2" | 7-limit !! colspan="2" | 11-limit Extension
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| 0 || 0.0 || '''1/1''' || ||
| 0 || 0.0 || '''1/1''' || ||
|-
|-
| 1 || 709.745 || '''3/2''' || ||
| 1 || 709.6 || '''3/2''' || ||
|-
|-
| 2 || 219.489 || '''8/7''', '''9/8''' || ||
| 2 || 219.2 || '''8/7''', '''9/8''' || ||
|-
|-
| 3 || 929.234 || 12/7 || ||
| 3 || 928.8 || 12/7 || ||
|-
|-
| 4 || 438.979 || 9/7 || || 14/11
| 4 || 438.4 || 9/7 || || 14/11
|-
|-
| 5 || 1148.724 || 27/14, 35/18 || 88/45 || 21/11, 64/33
| 5 || 1148.0 || 27/14, 35/18 || 88/45 || 21/11, 64/33
|-
|-
| 6 || 658.468 || 35/24, 40/27 || 22/15 || '''16/11'''
| 6 || 657.5 || 35/24, 40/27 || 22/15 || '''16/11'''
|-
|-
| 7 || 168.213 || 10/9 || 11/10 || 12/11
| 7 || 167.1 || 10/9 || 11/10 || 12/11
|-
|-
| 8 || 877.958 || 5/3 || 33/20 || 18/11
| 8 || 876.7 || 5/3 || 33/20 || 18/11
|-
|-
| 9 || 387.703 || '''5/4''' || || 27/22
| 9 || 386.3 || '''5/4''' || || 27/22
|-
|-
| 10 || 1097.447 || 15/8, 40/21 || ||
| 10 || 1095.9 || 15/8, 40/21 || ||
|-
|-
| 11 || 607.192 || 10/7 || ||
| 11 || 605.5 || 10/7 || ||
|-
|-
| 12 || 116.937 || 15/14 || ||
| 12 || 115.1 || 15/14 || ||
|-
|-
| 13 || 826.682 || 45/28 || 44/27 ||
| 13 || 824.7 || 45/28 || 44/27 ||
|-
|-
| 14 || 336.426 || 60/49 || 11/9 || 40/33
| 14 || 334.3 || 60/49 || 11/9 || 40/33
|-
|-
| 15 || 1046.171 || 50/27 || 11/6 || 20/11
| 15 || 1043.9 || 50/27 || 11/6 || 20/11
|-
|-
| 16 || 555.916 || 25/18 || '''11/8''' || 15/11
| 16 || 553.5 || 25/18 || '''11/8''' || 15/11
|-
|-
| 17 || 65.661 || 25/24 || 22/21, 33/32 || 45/44
| 17 || 63.0 || 25/24 || 22/21, 33/32 || 45/44
|- style="border-top: double;"
| colspan="5" style="font-size: 0.75em; text-align: left;" | &#42;&thinsp;In 7-limit CTE tuning
|}
|}
</div></div>
</div></div>
Retrieved from "https://en.xen.wiki/w/Superpyth"