No-sevens subgroup temperaments: Difference between revisions
No edit summary |
No edit summary |
||
| Line 1: | Line 1: | ||
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. | ||
== Dicot == | |||
: <small>''For full 11- and 13-limit extensions, see [[Dicot family]].''</small> | |||
Subgroup: 2.3.5.11 | |||
[[Comma list]]: 25/24, 45/44 | |||
[[Gencom]]: [2 5/4; 25/24 45/44] | |||
[[Gencom|Gencom mapping]]: [{{val|1 1 2 0 2}}, {{val|0 2 1 0 5}}] | |||
[[Mapping|Sval mapping]]: [{{val|1 1 2 2}}, {{val|0 2 1 5}}] | |||
[[Tp tuning|POL2 generator]]: ~5/4 = 346.734 | |||
{{Val list|legend=1| 3e, 4e, 7, 24c, 31c, 38cc, 45cce }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 5.621 cents | |||
Related temperaments: [[Dicot family #Septimal dicot|dicot]], [[Dicot family #Sharp|sharp]], [[Dicot family #Dichotic|dichotic]] | |||
=== 2.3.5.11.13 === | |||
Subgroup: 2.3.5.11.13 | |||
[[Comma list]]: 25/24, 40/39, 45/44 | |||
[[Gencom]]: [2 5/4; 25/24 40/39 45/44] | |||
[[Gencom|Gencom mapping]]: [{{val|1 1 2 0 2 4}}, {{val|0 2 1 0 5 -1}}] | |||
[[Mapping|Sval mapping]]: [{{val|1 1 2 2 4}}, {{val|0 2 1 5 -1}}] | |||
[[Tp tuning|POL2 generator]]: ~5/4 = 350.526 | |||
{{Val list|legend=1| 3e, 7, 17, 24c }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 5.916 cents | |||
== Mavila == | == Mavila == | ||
| Line 25: | Line 63: | ||
[[Comma list]]: 55/54, 100/99 | [[Comma list]]: 55/54, 100/99 | ||
[[Gencom]]: [2 10/9; 55/54 | [[Gencom]]: [2 10/9; 55/54 100/99] | ||
[[Gencom|Gencom mapping]]: [{{val|1 2 3 0 4}}, {{val|0 -3 -5 0 -4}}] | [[Gencom|Gencom mapping]]: [{{val|1 2 3 0 4}}, {{val|0 -3 -5 0 -4}}] | ||
| Line 52: | Line 90: | ||
[[Tp tuning|POL2 generator]]: ~11/9 = 348.094 | [[Tp tuning|POL2 generator]]: ~11/9 = 348.094 | ||
{{Val list|legend=1| 7, | {{Val list|legend=1| 7, 17c, 24, 31, 69e, 100e, 131bee }} | ||
[[Tp tuning #T2 tuning|RMS error]]: 1.392 cents | [[Tp tuning #T2 tuning|RMS error]]: 1.392 cents | ||
| Line 60: | Line 98: | ||
; Music | ; Music | ||
[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 Mohaha10ping2] by [[Billy Stiltner]] | [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 Mohaha10ping2] by [[Billy Stiltner]] | ||
=== Mohoho === | |||
Subgroup: 2.3.5.11.13 | |||
[[Comma list]]: 66/65, 81/80, 121/120 | |||
[[Gencom]]: [2 11/9; 66/65 81/80 121/120] | |||
[[Gencom|Gencom mapping]]: [{{val|1 1 0 0 2 4}}, {{val|0 2 8 0 5 -1}}] | |||
[[Mapping|Sval mapping]]: [{{val|1 1 0 2 4}}, {{val|0 2 8 5 -1}}] | |||
[[Tp tuning|POL2 generator]]: ~11/9 = 348.916 | |||
{{Val list|legend=1| 7, 17c, 24, 31, 55, 86ef, 141ceff }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 1.971 cents | |||
== Tetracot == | == Tetracot == | ||