No-sevens subgroup temperaments: Difference between revisions

Created page with "This is a collection of subgroup temperaments which omit the prime harmonic of 7. == Porkypine == Related temperament: Porcupine Subgroup: 2.3.5.11 Comma list:..."
 
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[[Tp tuning #T2 tuning|RMS error]]: 0.5374 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.5374 cents
== Quintaleap ==
: <small>''For full 17- and 19-limit extensions, see [[Quintaleap family]].''</small>
Subgroup: 2.3.5.17
[[Comma list]]: 256/255, 1419857/1417176
[[Gencom]]: [2 18/17; 256/255 1419857/1417176]
[[Gencom|Gencom mapping]]: [{{val| 1 2 1 0 0 0 5 }}, {{val| 0 -5 16 0 0 0 -11 }}]
[[Mapping|Sval mapping]]: [{{val| 1 2 1 5 }}, {{val| 0 -5 16 -11 }}]
[[Tp tuning|POL2 generator]]: ~18/17 = 99.272
{{Val list|legend=1| 12, 109, 121, 133 }}
[[Tp tuning #T2 tuning|RMS error]]: 0.3051 cents
=== 2.3.5.17.19 ===
Subgroup: 2.3.5.17.19
[[Comma list]]: 256/255, 361/360, 4624/4617
[[Gencom]]: [2 18/17; 256/255 361/360 4624/4617]
[[Gencom|Gencom mapping]]: [{{val| 1 2 1 0 0 0 5 4 }}, {{val| 0 -5 16 0 0 0 -11 3 }}]
[[Mapping|Sval mapping]]: [{{val| 1 2 1 5 4 }}, {{val| 0 -5 16 -11 3 }}]
[[Tp tuning|POL2 generator]]: ~18/17 = 99.276
{{Val list|legend=1| 12, 109, 121, 133 }}
[[Tp tuning #T2 tuning|RMS error]]: 0.3427 cents
== Quindromeda ==
: <small>''For full 17- and 19-limit extensions, see [[Quindromeda family]].''</small>
Subgroup: 2.3.5.17
[[Comma list]]: 24576/24565, 295936/295245
[[Gencom]]: [2 18/17; 24576/24565 295936/295245]
[[Gencom|Gencom mapping]]: [{{val| 1 2 0 0 0 0 5 }}, {{val| 0 -5 28 0 0 0 -11 }}]
[[Mapping|Sval mapping]]: [{{val| 1 2 0 5 }}, {{val| 0 -5 28 -11 }}]
[[Tp tuning|POL2 generator]]: ~18/17 = 99.524
{{Val list|legend=1| 12, 169, 181, 193, 205, 422 }}
[[Tp tuning #T2 tuning|RMS error]]: 0.0757 cents
=== 2.3.5.17.19 ===
Subgroup: 2.3.5.17.19
[[Comma list]]: 1216/1215, 1445/1444, 6144/6137
[[Gencom]]: [2 18/17; 1216/1215 1445/1444 6144/6137]
[[Gencom|Gencom mapping]]: [{{val| 1 2 0 0 0 0 5 4 }}, {{val| 0 -5 28 0 0 0 -11 3 }}]
[[Mapping|Sval mapping]]: [{{val| 1 2 0 5 4 }}, {{val| 0 -5 28 -11 3 }}]
[[Tp tuning|POL2 generator]]: ~18/17 = 99.524
{{Val list|legend=1| 12, 169, 181, 193, 205, 422 }}
[[Tp tuning #T2 tuning|RMS error]]: 0.0813 cents


== Nestoria ==
== Nestoria ==