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⟩	Father comma
25/24	[-3 -1 2⟩	Dicot comma
27/25	[0 -3 2⟩	Bug comma
81/80	[-4 4 -1⟩	Syntonic comma
128/125	[7 0 -3⟩	Augmented comma
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

List of 7-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
7/6	[-1 -1 0 1⟩	Septimal minor third
8/7	[3 0 0 -1⟩	Septimal major second
9/8	[-3 2⟩	Major second
10/9	[1 -2 1⟩	Classic major second
15/14	[-1 1 1 -1⟩	Septimal major semitone
16/15	[4 -1 -1⟩	Father comma
21/20	[-2 1 -1 1⟩	Septimal minor semitone
25/24	[-3 -1 2⟩	Dicot comma
27/25	[0 -3 2⟩	Bug comma
28/27	[2 -3 0 1⟩	Trienstonic comma
36/35	[2 2 -1 -1⟩	Mint comma
49/48	[-4 -1 0 2⟩	Slendro diesis
50/49	[1 0 2 -2⟩	Jubilisma
64/63	[6 -2 0 1⟩	Septimal comma
81/80	[-4 4 -1⟩	Syntonic comma
126/125	[1 2 -3 1⟩	Starling comma
225/224	[-5 2 2 -1⟩	Marvel comma
245/243	[0 -5 1 2⟩	Sensamagic comma
1029/1024	[-10 1 0 3⟩	Gamelisma
1728/1715	[6 3 -1 -3⟩	Orwellisma
2048/2025	[11 -4 -2⟩	Diaschisma
2401/2400	[-5 -1 -2 4⟩	Breedsma
3125/3087	[0 -2 5 -3⟩	Gariboh comma
3136/3125	[6 0 -5 2⟩	Hemimean comma
4000/3969	[5 -4 3 -2⟩	Octagar comma
4375/4374	[-1 -7 4 1⟩	Ragisma
5120/5103	[10 -6 1 -1⟩	Hemifamity comma
6144/6125	[11 1 -3 -2⟩	Porwell comma
16875/16807	[0 3 4 -5⟩	Mirkwai comma
19683/19600	[-4 9 -2 -2⟩	Cataharry comma
32805/32768	[-15 8 1⟩	Schisma
118098/117649	[1 10 0 -6⟩	Stearnsma
250047/250000	[-4 6 -6 3⟩	Landscape comma
589824/588245	[16 2 -1 -6⟩	Hewuermera comma
703125/702464	[-11 2 7 -3⟩	Meter comma
2460375/2458624	[-10 9 3 -4⟩	Sesquiquartisma
14348907/14336000	[-14 15 -3 -1⟩	Skeetsma
29360128/29296875	[22 -1 -10 1⟩	Quasiorwellisma
33554432/33480783	[25 -14 0 -1⟩	Garischisma
43046721/43025920	[-9 16 -1 -5⟩	Trienstonisma
52734375/52706752	[-6 3 9 -7⟩	Supermatertisma
67108864/66976875	[26 -7 -4 -2⟩	Decovulture comma
78125000/78121827	[3 -13 10 -2⟩	Euzenius comma