Unnoticeable commas are very small intervals. These commas are called "unnoticeable" because, being equal to or less than 3.5 cents, they are smaller than the average peak JND (just-noticeable difference) of human pitch perception, as illustrated by the research of Aaron Andrew Hunt. It is improbable that even a trained listener would be able to notice these intervals, and as such they a prime target for psychoacoustically informed microtempering.
Due to the wide range of sizes, cents values here and on the other commas pages are listed to 5 significant digits, instead of to a fixed number of decimal places as is the convention elsewhere on the wiki.
3-limit commas
| Name(s)
|
Ratio
|
Monzo
|
Cents
|
| Sasktel comma, 51-Pythagorean comma
|
|
[485 -306⟩
|
1.7697
|
| Satanic comma
|
|
[-1054 665⟩
|
0.075575
|
5-limit commas
| Name(s)
|
Ratio
|
Monzo
|
Cents
|
| dodifo
|
|
[-67 -9 35⟩
|
3.3850
|
| vishnuzma, semisuper
|
6115295232 / 6103515625
|
[23 6 -14⟩
|
3.3380
|
| enneadeca, 19-tone-comma
|
19073486328125 / 19042491875328
|
[-14 -19 19⟩
|
2.8155
|
| vavoom
|
|
[-68 18 17⟩
|
2.5232
|
| tricot comma
|
68719476736000 / 68630377364883
|
[39 -29 3⟩
|
2.2461
|
| schisma
|
32805 / 32768
|
[-15 8 1⟩
|
1.9537
|
| counterschisma
|
|
[-69 45 -1⟩
|
1.6613
|
| septendecima
|
|
[-52 -17 34⟩
|
1.4313
|
| hemithirds comma, lunama
|
274877906944 / 274658203125
|
[38 -2 -15⟩
|
1.3843
|
| minortone comma
|
50031545098999707 / 50000000000000000
|
[-16 35 -17⟩
|
1.0919
|
| ennealimmal
|
7629394531250 / 7625597484987
|
[1 -27 18⟩
|
0.86183
|
| astro
|
|
[91 -12 -31⟩
|
0.81486
|
| kwazy
|
9010162353515625 / 9007199254740992
|
[-53 10 16⟩
|
0.56943
|
| whoosh
|
|
[37 25 -33⟩
|
0.52246
|
| egads
|
|
[-36 -52 51⟩
|
0.33936
|
| monzisma
|
450359962737049600 / 450283905890997363
|
[54 -37 2⟩
|
0.29240
|
| fortune
|
|
[-107 47 14⟩
|
0.27703
|
| gross
|
|
[144 -22 -47⟩
|
0.24543
|
| senior
|
|
[-17 62 -35⟩
|
0.23007
|
| 665&3684 comma
|
|
[-500 314 1⟩
|
0.18399
|
| raider
|
|
[71 -99 37⟩
|
0.062327
|
| pirate
|
|
[-90 -15 49⟩
|
0.046966
|
| viking
|
|
[-251 69 61⟩
|
0.031605
|
| Kirnberger's_atom
|
|
[161 -84 -12⟩
|
0.015361
|
| selenia
|
|
[-433 -137 280⟩
|
0.0047636
|
| titania
|
|
[2746 -521 -827⟩
|
0.0031829
|
| quark
|
|
[-573 237 85⟩
|
8.8361 × 10-4
|
| scamp
|
|
[-5836 4293 -417⟩
|
3.3472 × 10-5
|
| rover
|
|
[1634 1502 -1729⟩
|
2.7513 × 10-5
|
| rascal
|
|
[-7470 2791 1312⟩
|
5.9596 × 10-6
|
7-limit commas
| Name(s)
|
Ratio
|
Monzo
|
Cents
|
| 44-septimal comma
|
|
[-263 88 0 44⟩
|
0.37996
|
| horwell
|
65625 / 65536
|
[-16 1 5 1⟩
|
2.3495
|
| meter
|
703125 / 702464
|
[-11 2 7 -3⟩
|
1.6283
|
| wizma
|
420175 / 419904
|
[-6 -8 2 5⟩
|
1.1170
|
| breedsma
|
2401 / 2400
|
[-5 -1 -2 4⟩
|
0.72120
|
| ragisma
|
4375 / 4374
|
[-1 -7 4 1⟩
|
0.39576
|
| akjaysma, 5\7 octave comma
|
140737488355328 / 140710042265625
|
[47 -7 -7 -7⟩
|
0.33765
|
| landscape
|
250047 / 250000
|
[-4 6 -6 3⟩
|
0.32544
|
| starscape
|
645700815 / 645657712
|
[-4 17 1 -9⟩
|
0.11557
|
| euzenius
|
78125000 / 78121827
|
[3 -13 10 -2⟩
|
0.070314
|
| termite
|
|
[9 -28 37 -18⟩
|
0.0010723
|
| neutrino
|
|
[1889 -2145 138 424⟩
|
1.6361 × 10-10
|
11-limit commas
| Name(s)
|
Ratio
|
Monzo
|
Cents
|
| 11-cycle schisma, 37-11-comma
|
|
[128 0 0 0 -37⟩
|
1.2361
|
| swetisma
|
540 / 539
|
[2 3 1 -2 -1⟩
|
3.2090
|
| wizardharry
|
4000 / 3993
|
[5 -1 3 0 -3⟩
|
3.0323
|
| vishdel
|
5632 / 5625
|
[9 -2 -4 0 1⟩
|
2.1531
|
| sesdecal
|
234375 / 234256
|
[-4 1 7 0 -4⟩
|
0.87923
|
| hemigail
|
43923 / 43904
|
[-7 1 0 -3 4⟩
|
0.74905
|
| lehmerisma
|
3025 / 3024
|
[-4 -3 2 -1 2⟩
|
0.57240
|
| kalisma, Gauss' comma
|
9801 / 9800
|
[-3 4 -2 -2 2⟩
|
0.17665
|
| odiheim
|
151263 / 151250
|
[-1 2 -4 5 -2⟩
|
0.14879
|
| parimo
|
1771561 / 1771470
|
[-1 -11 -1 0 6⟩
|
0.088931
|
| ultimo
|
3294225 / 3294172
|
[-2 2 2 -7 4⟩
|
0.027854
|
13-limit commas
| Name
|
Ratio
|
Monzo
|
Cents
|
| tunbarsma
|
625 / 624
|
[-4 -1 4 0 0 -1⟩
|
2.7722
|
| island comma
|
676 / 675
|
[2 -3 -2 0 0 2⟩
|
2.5629
|
| squbema
|
729 / 728
|
[-3 6 0 -1 0 -1⟩
|
2.3764
|
| petrma
|
2200 / 2197
|
[3 0 2 0 1 -3⟩
|
2.3624
|
| nicola
|
1575 / 1573
|
[0 2 2 1 -2 -1⟩
|
2.1998
|
| sinbadma
|
1001 / 1000
|
[-3 0 -3 1 1 1⟩
|
1.7303
|
| cantonisma
|
10985 / 10976
|
[-5 0 1 -3 0 3⟩
|
1.4190
|
| lummic
|
1716 / 1715
|
[2 1 -1 -3 1 1⟩
|
1.0092
|
| ibnsinma
|
2080 / 2079
|
[5 -3 1 -1 -1 1⟩
|
0.83252
|
| schismina
|
4096 / 4095
|
[12 -2 -1 -1 0 -1⟩
|
0.42272
|
| leprechaun comma
|
4225 / 4224
|
[-7 -1 2 0 -1 2⟩
|
0.40981
|
| jacobin
|
6656 / 6655
|
[9 0 -1 0 -3 1⟩
|
0.26012
|
| harmonisma
|
10648 / 10647
|
[3 -2 0 -1 3 -2⟩
|
0.16260
|
| chalmersima
|
123201 / 123200
|
[-6 6 -2 -1 -1 2⟩
|
0.014052
|
17-limit commas
| Name
|
Ratio
|
Monzo
|
Cents
|
| xenisma
|
2058 / 2057
|
[1 1 0 3 -2 0 -1⟩
|
0.84143
|
| flashma
|
12376 / 12375
|
[3 -2 -3 1 -1 1 1⟩
|
0.13989
|
| sparkisma
|
14400 / 14399
|
[6 2 2 -1 -2 0 -1⟩
|
0.12023
|
| scintillisma
|
194481 / 194480
|
[-4 4 -1 4 -1 -1 -1⟩
|
0.0089018
|
19-limit commas
| Name
|
Ratio
|
Monzo
|
Cents
|
| undevicesimal, Boethius', Hunt 19-minor mediant comma
|
513 / 512
|
[-9 3 0 0 0 0 0 1⟩
|
3.3781
|
| password
|
1216 / 1215
|
[6 -5 -1 0 0 0 0 1⟩
|
1.4243
|
| Blumeyer comma
|
2432 / 2431
|
[7 0 0 0 -1 -1 -1 1⟩
|
0.71200
|
| 19-limit decimill
|
165376 / 165375
|
[9 -3 -3 -2 0 0 1 1⟩
|
0.010469
|