No-sevens subgroup temperaments: Difference between revisions
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This is a collection of [[subgroup temperament]]s which omit the prime harmonic of 7. | This is a collection of [[subgroup temperament]]s which omit the prime harmonic of 7. | ||
== Mavila == | |||
Subgroup: 2.3.5.11 | |||
[[Comma list]]: 33/32, 45/44 | |||
[[Gencom]]: [2 4/3; 33/32, 45/44] | |||
[[Gencom|Gencom mapping]]: [{{val|1 2 1 0 3}}, {{val|0 -1 3 0 1}}] | |||
[[Mapping|Sval mapping]]: [{{val|1 2 1 3}}, {{val|0 -1 3 1}}] | |||
[[Tp tuning|POL2 generator]]: ~4/3 = 520.212 | |||
{{Val list|legend=1| 7, 16, 23e, 30bce }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 4.705 cents | |||
Related temperaments: [[Pelogic family #Mavila|mavila]], [[Pelogic family #Pelogic|pelogic]], [[Pelogic family #Armodue|armodue]] | |||
== Porkypine == | == Porkypine == | ||
Subgroup: 2.3.5.11 | Subgroup: 2.3.5.11 | ||
| Line 16: | Line 33: | ||
[[Tp tuning|POL2 generator]]: ~11/10 = 164.078 | [[Tp tuning|POL2 generator]]: ~11/10 = 164.078 | ||
{{Val list|legend=1| 7, 15, 22, 37, | {{Val list|legend=1| 7, 15, 22, 37, 73ce, 95ce, 117bce }} | ||
[[Tp tuning #T2 tuning|RMS error]]: 2.287 cents | [[Tp tuning #T2 tuning|RMS error]]: 2.287 cents | ||
Related temperament: [[Porcupine]] | |||
== Mohaha == | == Mohaha == | ||
Subgroup: 2.3.5.11 | Subgroup: 2.3.5.11 | ||
| Line 35: | Line 52: | ||
[[Tp tuning|POL2 generator]]: ~11/9 = 348.094 | [[Tp tuning|POL2 generator]]: ~11/9 = 348.094 | ||
{{Val list|legend=1| 7, 10, 17, 24, 31, 55, | {{Val list|legend=1| 7, 10, 17, 24, 31, 55, 69e, 100e, 131be }} | ||
[[Tp tuning #T2 tuning|RMS error]]: 1.392 cents | [[Tp tuning #T2 tuning|RMS error]]: 1.392 cents | ||
Related temperament: [[mohajira]], [[Meantone family #Migration|migration]] | |||
; Music | ; Music | ||
| Line 57: | Line 76: | ||
[[Tp tuning|POL2 generator]]: ~10/9 = 175.985 | [[Tp tuning|POL2 generator]]: ~10/9 = 175.985 | ||
{{Val list|legend=1| 7, | {{Val list|legend=1| 7, 27e, 34, 41, 75e }} | ||
[[Tp tuning #T2 tuning|RMS error]]: 1.182 cents | [[Tp tuning #T2 tuning|RMS error]]: 1.182 cents | ||
Related temperaments: [[Tetracot family #Monkey|monkey]], [[Tetracot family #Bunya|bunya]], [[Tetracot family #Modus|modus]], [[Tetracot family #Wollemia|wollemia]] | |||
=== 2.3.5.11.13 === | === 2.3.5.11.13 === | ||
| Line 74: | Line 95: | ||
[[Tp tuning|POL2 generator]]: ~10/9 = 176.196 | [[Tp tuning|POL2 generator]]: ~10/9 = 176.196 | ||
{{Val list|legend=1| 7, | {{Val list|legend=1| 7, 27e, 34, 41, 75e }} | ||
[[Tp tuning #T2 tuning|RMS error]]: 1.140 cents | [[Tp tuning #T2 tuning|RMS error]]: 1.140 cents | ||
| Line 82: | Line 103: | ||
[[Comma list]]: 243/242, 4000/3993 | [[Comma list]]: 243/242, 4000/3993 | ||
[[Gencom]]: [2 40/27; 243/242 4000/3993] | [[Gencom]]: [2 40/27; 243/242 4000/3993] | ||
| Line 96: | Line 115: | ||
[[Tp tuning #T2 tuning|RMS error]]: 0.3025 cents | [[Tp tuning #T2 tuning|RMS error]]: 0.3025 cents | ||
Related temperaments: [[Gravity family|gravity]], [[Gravity family #Harry|harry]] | |||
== Twentcufo == | == Twentcufo == | ||
Subgroup: 2.3.5.11 | Subgroup: 2.3.5.11 | ||
| Line 115: | Line 134: | ||
[[Tp tuning #T2 tuning|RMS error]]: 0.2393 cents | [[Tp tuning #T2 tuning|RMS error]]: 0.2393 cents | ||
Related temperament: [[Hemimean clan #Undetrita|undetrita]] | |||
== Emka == | == Emka == | ||
| Line 189: | Line 210: | ||
== Photia == | == Photia == | ||
Subgroup: 2.3.5.17 | Subgroup: 2.3.5.17 | ||
| Line 206: | Line 225: | ||
[[Tp tuning #T2 tuning|RMS error]]: 0.4842 cents | [[Tp tuning #T2 tuning|RMS error]]: 0.4842 cents | ||
Related temperament: [[Schismatic family|Schismic]] | |||
=== 2.3.5.17.19 === | === 2.3.5.17.19 === | ||
| Line 333: | Line 354: | ||
== Nestoria == | == Nestoria == | ||
Subgroup: 2.3.5.19 | Subgroup: 2.3.5.19 | ||
| Line 350: | Line 369: | ||
[[Tp tuning #T2 tuning|RMS error]]: 0.1763 cents | [[Tp tuning #T2 tuning|RMS error]]: 0.1763 cents | ||
Related temperament: [[Schismatic family|Schismic]] | |||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||