Hemimean clan: Difference between revisions

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Isra: +the three extensions
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== Isra ==
== Isra ==
(Results from taking every other generator of [[septimal meantone]]. Named after the Isrāʾ ''iss-RAH'' night journey in the Qur'an, because it's similar to [[luna]].)
Isra results from taking every other generator of [[septimal meantone]]. It is named after the Isrāʾ (''iss-RAH'') night journey in the Qur'an, because it's similar to [[luna]].  


Subgroup: 2.9.5.7
Subgroup: 2.9.5.7


Commas: 81/80, 3136/3125
Comma list: 81/80, 126/125


Mapping: [⟨1 3 2 2], ⟨0 1 2 5]]
Mapping: [{{val| 1 3 2 2 }}, {{val| 0 1 2 5 }}]


Mapping generators: ~2/1, ~9/8
Mapping generators: ~2/1, ~9/8
Line 974: Line 974:
POTE generator: ~9/8 = 192.9898
POTE generator: ~9/8 = 192.9898


Vals: {{Vals|25, 31}}
Vals: {{Vals| 6, 19, 25, 31, 56b, 87b }}
 
=== Tutone ===
{{See also| Chromatic pairs #Tutone }}
 
=== Deutone ===
{{See also| Chromatic pairs #Deutone }}
 
=== Leantone ===
{{See also| Chromatic pairs #Leantone }}


[[Category:Regular temperament theory]]
[[Category:Regular temperament theory]]