Rastmic clan: Difference between revisions

+categories
Update keys; separate neutrominant alone since it's an extension to both suhajira and mohaha
Line 4: Line 4:
Neutral can be thought of as the 2.3.11 version of either [[mohajira]] or [[maqamic]], as well as suhajira and ringo. Among other things, it is the temperament optimizing the [[neutral tetrad]].
Neutral can be thought of as the 2.3.11 version of either [[mohajira]] or [[maqamic]], as well as suhajira and ringo. Among other things, it is the temperament optimizing the [[neutral tetrad]].


Subgroup: 2.3.11
[[Subgroup]]: 2.3.11


[[Comma]]: 243/242
[[Comma list]]: 243/242


[[Gencom]]: [2 11/9; 243/242]
{{Mapping|legend=2| 1 1 2 | 0 2 5 }}


[[Gencom|Gencom mapping]]: [{{val|1 1 0 0 2}}, {{val|0 2 0 0 5}}]
: mapping generators: ~2, ~11/9
 
{{Mapping|legend=3| 1 1 0 0 2 | 0 2 0 0 5 }}


[[Mapping|Sval mapping]]: [{{val|1 1 2}}, {{val|0 2 5}}]
: gencom: [2 11/9; 243/242]


[[Tp tuning|POL2 generator]]: ~11/9 = 350.525
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~11/9 = 350.525


{{Optimal ET sequence|legend=1| 7, 10, 17, 24, 41, 65, 89, 202, 291, 380 }}
{{Optimal ET sequence|legend=1| 7, 10, 17, 24, 41, 65, 89, 202, 291, 380 }}
Line 20: Line 22:
[[Tp tuning #T2 tuning|RMS error]]: 0.3021 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.3021 cents


; Scales
Scales: [[neutral7]], [[neutral10]], [[neutral17]]
* [[neutraltet7|Seven note albitonic scale]]
* [[neutraltet10|Ten note chromatic scale]]
* [[neutraltet17|Seventeen note mega chromatic scale]]


=== Namo ===
=== Namo ===
Subgroup: 2.3.11.13
[[Subgroup]]: 2.3.11.13


[[Comma list]]: 144/143, 243/242
[[Comma list]]: 144/143, 243/242


[[Gencom]]: [2 11/9; 144/143 243/242]
{{Mapping|legend=2| 1 1 2 4 | 0 2 5 -1 }}


[[Gencom|Gencom mapping]]: [{{val|1 1 0 0 2 4}}, {{val|0 2 0 0 5 -1}}]
{{Mapping|legend=3| 1 1 0 0 2 4 | 0 2 0 0 5 -1 }}


[[Mapping|Sval mapping]]: [{{val|1 1 2 4}}, {{val|0 2 5 -1}}]
: gencom: [2 11/9; 144/143 243/242]


[[Tp tuning|POL2 generator]]: ~11/9 = 351.488
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~11/9 = 351.488


{{Optimal ET sequence|legend=1| 7, 10, 17, 24, 41 }}
{{Optimal ET sequence|legend=1| 7, 10, 17, 24, 41 }}
Line 42: Line 41:
[[Tp tuning #T2 tuning|RMS error]]: 0.7038 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.7038 cents


=== Suhajira ===
== Suhajira ==
Subgroup: 2.3.7.11
Subgroup: 2.3.7.11


Line 61: Line 60:
Scales: [[suhajira7]], [[suhajira10]], [[suhajira17]]
Scales: [[suhajira7]], [[suhajira10]], [[suhajira17]]


==== 2.3.7.11.13 ====
=== 2.3.7.11.13 subgroup ===
Subgroup: 2.3.7.11.13
Subgroup: 2.3.7.11.13


Line 148: Line 147:
{{Optimal ET sequence|legend=1| 7, 31dd, 38d, 45e, 83bcddee }}
{{Optimal ET sequence|legend=1| 7, 31dd, 38d, 45e, 83bcddee }}


=== Neutrominant ===
== Neutrominant ==
<span style="display: block; text-align: right;">[[:de:maqamisch|Deutsch]]</span>
<span style="display: block; text-align: right;">[[:de:maqamisch|Deutsch]]</span>
{{Main| Neutrominant }}
{{Main| Neutrominant }}
Line 168: Line 167:
Badness: 0.040240
Badness: 0.040240


==== 13-limit ====
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13