User:FloraC/Reasonable commas

Thanks to @Dead Shaman.

Dead Shaman defines the reasonable comma as one such that there is not a number between the numerator and denominator which is in the subgroup.

My redefinition: a reasonable comma is one which cannot be factored into two simpler commas in a given subgroup.

List of 5-limit reasonable 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