Gamelismic clan: Difference between revisions
Undo the formatting; +link to trismegistus Tag: Undo |
-hemithirds (moved to hemimean clan for sharing generator) |
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To the gamelisma itself we need to add the comma which appears next on the modified [[Normal lists #Normal interval list|normal comma list]], which is often a 5-limit comma. The second comma on the list for mothra is 81/80, for rodan 245/243, for guiron 32805/32768, for gorgo 36/35, and for gidorah 256/245. These all use 8/7 as a generator, though in the case of gidorah that's the same as 6/5. Miracle adds 33075/32768 and uses the secor, half an 8/7, as generator. Lemba adds 525/512 to the list, and has a half-octave period. Valentine adds 6144/6125 with a generator of 21/20 and superkleismic adds 875/864 with a generator of 6/5. Unidec adds 4375/4374, and has a generator of 10/9 with a half-octave period. Hemithirds adds 65625/65536 with a generator half of a major third. Finally, tritikleismic adds 15625/15536 and has a generator of 6/5 with a 1/3 octave period. | To the gamelisma itself we need to add the comma which appears next on the modified [[Normal lists #Normal interval list|normal comma list]], which is often a 5-limit comma. The second comma on the list for mothra is 81/80, for rodan 245/243, for guiron 32805/32768, for gorgo 36/35, and for gidorah 256/245. These all use 8/7 as a generator, though in the case of gidorah that's the same as 6/5. Miracle adds 33075/32768 and uses the secor, half an 8/7, as generator. Lemba adds 525/512 to the list, and has a half-octave period. Valentine adds 6144/6125 with a generator of 21/20 and superkleismic adds 875/864 with a generator of 6/5. Unidec adds 4375/4374, and has a generator of 10/9 with a half-octave period. Hemithirds adds 65625/65536 with a generator half of a major third. Finally, tritikleismic adds 15625/15536 and has a generator of 6/5 with a 1/3 octave period. | ||
Discussed elsewhere are [[Archytas clan #Blacksmith|blacksmith]], [[Meantone family #Mothra|mothra]], [[Diaschismic family #Echidnic|echidnic]], [[Magic family #Trismegistus|trismegistus]], [[Schismatic family #Guiron|guiron]], [[Semicomma family #Triwell|triwell]] and [[Sensipent family #Heinz|heinz]]. The rest are considered below. | Discussed elsewhere are [[Archytas clan #Blacksmith|blacksmith]], [[Meantone family #Mothra|mothra]], [[Diaschismic family #Echidnic|echidnic]], [[Magic family #Trismegistus|trismegistus]], [[Hemimean clan #Hemithirds|hemithirds]], [[Schismatic family #Guiron|guiron]], [[Semicomma family #Triwell|triwell]] and [[Sensipent family #Heinz|heinz]]. The rest are considered below. | ||
== Subgroup extensions == | == Subgroup extensions == | ||
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Scales: [[unidec26]] | Scales: [[unidec26]] | ||
= Hemiseven = | = Hemiseven = | ||