User:FloraC/Reasonable commas: Difference between revisions
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Created page with "Thanks to @Dead Shaman. A reasonable comma in a subgroup is one which cannot be factored into two simpler commas. {| class="wikitable" |+ List of 5-limit reasonable commas..." |
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! Ratio !! Monzo !! Name | ! Ratio !! Monzo !! Name | ||
|- | |- | ||
| 2/1 || {{monzo| 1 }} || | | 2/1 || {{monzo| 1 }} || Octave | ||
|- | |- | ||
| 3/2 || {{monzo| -1 1 }} || Perfect fifth | | 3/2 || {{monzo| -1 1 }} || Perfect fifth | ||
| Line 26: | Line 26: | ||
| 25/24 || {{monzo| -3 -1 2 }} || Classic chroma | | 25/24 || {{monzo| -3 -1 2 }} || Classic chroma | ||
|- | |- | ||
| 27/25 || {{monzo| 0 -3 2 }} || | | 27/25 || {{monzo| 0 -3 2 }} || Large limma | ||
|- | |- | ||
| 81/80 || {{monzo| -4 4 -1 }} || Syntonic comma | | 81/80 || {{monzo| -4 4 -1 }} || Syntonic comma | ||
Revision as of 12:58, 15 May 2022
Thanks to @Dead Shaman.
A reasonable comma in a subgroup is one which cannot be factored into two simpler commas.
| Ratio | Monzo | Name |
|---|---|---|
| 2/1 | [1⟩ | Octave |
| 3/2 | [-1 1⟩ | Perfect fifth |
| 4/3 | [2 -1⟩ | Perfect fourth |
| 5/4 | [-2 0 1⟩ | Classic major third |
| 6/5 | [1 1 -1⟩ | Classic minor third |
| 9/8 | [-3 2⟩ | Major second |
| 10/9 | [1 -2 1⟩ | Classic major second |
| 16/15 | [4 -1 -1⟩ | Classic minor second |
| 25/24 | [-3 -1 2⟩ | Classic chroma |
| 27/25 | [0 -3 2⟩ | Large limma |
| 81/80 | [-4 4 -1⟩ | Syntonic comma |
| 128/125 | [7 0 -3⟩ | Diesis |
| 250/243 | [1 -5 3⟩ | Porcupine comma |
| 2048/2025 | [11 -4 -2⟩ | Diaschisma |
| 3125/3072 | [-10 -1 5⟩ | Magic comma |
| 15625/15552 | [-6 -5 6⟩ | Kleisma |
| 20000/19683 | [5 -9 4⟩ | Tetracot comma |
| 32805/32768 | [-15 8 1⟩ | Schisma |
| 78732/78125 | [2 9 -7⟩ | Sensipent comma |
| 393216/390625 | [17 1 -8⟩ | Würschmidt comma |
| 1600000/1594323 | [9 -13 5⟩ | Amity comma |
| 1224440064/1220703125 | [8 14 -13⟩ | Parakleisma |
| 4294967296/4271484375 | [32 -7 -9⟩ | Escapade comma |
| 6115295232/6103515625 | [23 6 -14⟩ | Vishnuzma |
| 10485760000/10460353203 | [24 -21 4⟩ | Vulture comma |
| 274877906944/274658203125 | [38 -2 -15⟩ | Luna comma |
| 7629394531250/7625597484987 | [1 -27 18⟩ | Ennealimma |
| 9010162353515625/9007199254740992 | [-53 10 16⟩ | Kwazy comma |
| 50031545098999707/50000000000000000 | [-16 35 -17⟩ | Minortone comma |
| 450359962737049600/450283905890997363 | [54 -37 2⟩ | Monzisma |