No-sevens subgroup temperaments: Difference between revisions
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[[Tp tuning #T2 tuning|RMS error]]: 0.2830 cents | [[Tp tuning #T2 tuning|RMS error]]: 0.2830 cents | ||
=== Superpine === | |||
{{see also|Meantone family #Superpine}} | |||
{{see also|Meantone family #Trimean}} | |||
Subgroup: 2.3.5.11 | |||
Comma list: 81/80, 1350/1331 | |||
Mapping: {{mapping| 1 2 4 5 | 0 -3 -12 -11 }} | |||
Optimal tunings: | |||
* CTE: ~2 = 1200.000, ~11/10 = 167.712 | |||
* CWE: ~2 = 1200.000, ~11/10 = 167.882 | |||
{{Optimal ET sequence|legend=0| 7, 29ce, 36, 43, 50 }} | |||
==== 2.3.5.11.13 ==== | |||
Subgroup: 2.3.5.11.13 | |||
Comma list: 81/80, 144/143, 975/968 | |||
Mapping: {{mapping| 1 2 4 5 | 0 -3 -12 -11 5 }} | |||
Optimal tunings: | |||
* CTE: ~2 = 1200.000, ~11/10 = 167.729 | |||
* CWE: ~2 = 1200.000, ~11/10 = 167.846 | |||
{{Optimal ET sequence|legend=0| 7, 29ce, 36, 43, 50 }} | |||
=== Dicot === | === Dicot === | ||
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[[Tp tuning #T2 tuning|RMS error]]: 0.1171 cents | [[Tp tuning #T2 tuning|RMS error]]: 0.1171 cents | ||
==== 2.3.5.13.17 | ==== 2.3.5.13.17 ==== | ||
The comma list shown here is interestingly a possible minimal [[S-expression]]-based comma list for majvam: {[[676/675|S13/S15 = S26]], [[24576/24565|S16/S17]], [[2601/2600|S51]]} (though the order of the last two commas is swapped to make the commas appear in ascending prime limit). | The comma list shown here is interestingly a possible minimal [[S-expression]]-based comma list for majvam: {[[676/675|S13/S15 = S26]], [[24576/24565|S16/S17]], [[2601/2600|S51]]} (though the order of the last two commas is swapped to make the commas appear in ascending prime limit). | ||
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[[Badness]] (Sintel): 0.301 | [[Badness]] (Sintel): 0.301 | ||
==== 2.3.5.13.19 | ==== 2.3.5.13.19 ==== | ||
Subgroup: 2.3.5.13.19 | Subgroup: 2.3.5.13.19 | ||