No-threes subgroup temperaments: Difference between revisions
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This is a collection of [[subgroup temperament]]s which omit the prime harmonic of 3. | This is a collection of [[subgroup temperament]]s which omit the prime harmonic of 3. | ||
== Llywelyn == | |||
Subgroup: 2.5.7 | Subgroup: 2.5.7 | ||
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[[Tp tuning #T2 tuning|RMS error]]: 0.5391 cents | [[Tp tuning #T2 tuning|RMS error]]: 0.5391 cents | ||
=== 2.5.7.11 === | |||
Subgroup: 2.5.7.11 | Subgroup: 2.5.7.11 | ||
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{{Val list|legend=1| 16, 21, 37 }} | {{Val list|legend=1| 16, 21, 37 }} | ||
=== 2.5.7.11.13 === | |||
Subgroup: 2.5.7.11 | Subgroup: 2.5.7.11 | ||
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{{Val list|legend=1| 16, 21, 37 }} | {{Val list|legend=1| 16, 21, 37 }} | ||
=== 2.5.7.11.13.17 === | |||
Subgroup: 2.5.7.11 | Subgroup: 2.5.7.11 | ||
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{{Val list|legend=1| 16, 21, 37 }} | {{Val list|legend=1| 16, 21, 37 }} | ||
== Didacus == | |||
{{See also| Hemimean clan #Didacus }} | {{See also| Hemimean clan #Didacus }} | ||
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[[Tp tuning #T2 tuning|RMS error]]: 0.2138 cents | [[Tp tuning #T2 tuning|RMS error]]: 0.2138 cents | ||
== Rainy == | |||
Three generators make an [[8/7]]; five generators make a [[5/4]]. This is the no-threes version of [[tertiaseptal]]. | Three generators make an [[8/7]]; five generators make a [[5/4]]. This is the no-threes version of [[tertiaseptal]]. | ||
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[[Tp tuning #T2 tuning|RMS error]]: 0.0586 cents | [[Tp tuning #T2 tuning|RMS error]]: 0.0586 cents | ||
== Mercy == | |||
{{See also| Quince clan #Mercy }} | {{See also| Quince clan #Mercy }} | ||
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{{Val list|legend=1| 10, 21, 31, 134, 165, 196, 227, 485d, 712d, 1197dd }} | {{Val list|legend=1| 10, 21, 31, 134, 165, 196, 227, 485d, 712d, 1197dd }} | ||
=== 2.5.7.13 === | |||
Subgroup: 2.5.7.13 | Subgroup: 2.5.7.13 | ||
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{{Val list|legend=1| 10, 21, 31}} | {{Val list|legend=1| 10, 21, 31}} | ||
=== 2.5.7.13.17 === | |||
Subgroup: 2.5.7.13.17 | Subgroup: 2.5.7.13.17 | ||
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{{Val list|legend=1| 10, 21, 31}} | {{Val list|legend=1| 10, 21, 31}} | ||
=== 2.5.7.13.17.19 === | |||
Subgroup: 2.5.7.13.17.19 | Subgroup: 2.5.7.13.17.19 | ||
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[[Category:Subgroup temperaments]] | [[Category:Subgroup temperaments]] | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||
{{Todo| cleanup | review }} | |||