Gamelismic clan: Difference between revisions

Cmloegcmluin (talk | contribs)
adding parenthetical "(unchanged intervals)" to eigenmonzo lists
Remove lemba (weak extension of slendric, strong extension of the simpler jubilismic clan)
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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 15625/15552 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 15625/15552 and has a generator of 6/5 with a 1/3 octave period.


Discussed elsewhere are [[blacksmith]], [[mothra]], [[echidnic]], [[tritikleismic]], [[valentine]], [[trismegistus]], [[hemithirds]], [[gamity]], [[triwell]], [[decades]] and [[heinz]]. The rest are considered below.
Discussed elsewhere are [[blacksmith]], [[lemba]], [[mothra]], [[echidnic]], [[tritikleismic]], [[valentine]], [[trismegistus]], [[hemithirds]], [[gamity]], [[triwell]], [[decades]] and [[heinz]]. The rest are considered below.


=== Subgroup extensions ===
=== Subgroup extensions ===
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Badness: 0.015701
Badness: 0.015701
== Lemba ==
{{main| Lemba }}
{{see also| Jubilismic clan #Lemba }}
Subgroup: 2.3.5.7
[[Comma list]]: 50/49, 525/512
[[Mapping]]: [{{val| 2 2 5 6 }}, {{val| 0 3 -1 -1 }}]
Mapping generators: ~7/5, ~8/7
{{Multival|legend=1| 6 -2 -2 -17 -20 1 }}
[[POTE generator]]: ~8/7 = 232.089
{{Val list|legend=1| 10, 16, 26 }}
[[Badness]]: 0.062208
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 45/44, 50/49, 385/384
Mapping: [{{val| 2 2 5 6 5 }}, {{val| 0 3 -1 -1 5 }}]
POTE generator: ~8/7 = 230.974
Vals: {{Val list| 10, 16, 26 }}
Badness: 0.041563
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 45/44, 50/49, 65/64, 78/77
Mapping: [{{val| 2 2 5 6 5 7 }}, {{val| 0 3 -1 -1 5 1 }}]
POTE generator: ~8/7 = 230.966
Vals: {{Val list| 10, 16, 26 }}
Badness: 0.025477


== Unidec ==
== Unidec ==