Schismatic family: Difference between revisions
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The second comma of the [[Normal_lists|normal comma list]] defines which 7-limit family member we are looking at. Adding [[garischisma|{{monzo|25 -14 0 -1}}]] gives garibaldi, {{monzo|-44 26 0 1}} grackle, [[64/63|{{monzo|6 -2 0 -1}}]] schism and {{monzo|-59 39 0 -1}} pontiac; these all have a fifth as generator. Bischismic adds {{monzo|-69 40 0 2}} and has a fifth generator with a half-octave period. Guiron adds 1029/1024 = {{monzo|-10 1 0 3}}, with an 8/7 generator, three of which give the fifth, and term adds {{monzo|-94 54 0 3}} with a 1/3 octave period. Sesquiquartififths adds {{monzo|-35 15 0 4}} and slices the fifth in four. | The second comma of the [[Normal_lists|normal comma list]] defines which 7-limit family member we are looking at. Adding [[garischisma|{{monzo|25 -14 0 -1}}]] gives garibaldi, {{monzo|-44 26 0 1}} grackle, [[64/63|{{monzo|6 -2 0 -1}}]] schism and {{monzo|-59 39 0 -1}} pontiac; these all have a fifth as generator. Bischismic adds {{monzo|-69 40 0 2}} and has a fifth generator with a half-octave period. Guiron adds 1029/1024 = {{monzo|-10 1 0 3}}, with an 8/7 generator, three of which give the fifth, and term adds {{monzo|-94 54 0 3}} with a 1/3 octave period. Sesquiquartififths adds {{monzo|-35 15 0 4}} and slices the fifth in four. | ||
Temperaments not discussed here include [[Porwell temperaments #Hemischis|hemischis]]. | Temperaments not discussed here include [[Porwell temperaments #Hemischis|hemischis]] and [[Turkish maqam music temperaments #Karadeniz temperament|karadeniz]]. | ||
= Garibaldi = | = Garibaldi = | ||
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== Helenus == | == Helenus == | ||
Commas: 99/98 176/175 3125/3087 | Commas: 99/98, 176/175, 3125/3087 | ||
POTE generator: ~3/2 = 701.725 | POTE generator: ~3/2 = 701.725 | ||