Small comma: Difference between revisions

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 [[Xenharmonic Wiki: Conventions|convention]] elsewhere on the wiki.

== List of commas, by prime limit ==

{| class="wikitable"

! Name(s)

! [[Ratio]]

! [[Monzo]]

| Wa-41

| w-41

| {{Monzo| 65 -41 }}

| 19.845

| Wa-53

| w-53

| {{Monzo| -84 53 }}

| 3.6150

{| class="wikitable"

! Name(s)

! [[Ratio]]

! [[Monzo]]

| [[Magic comma]], small diesis

| Laquinyo

| 3125 / 3072

| {{Monzo| -10 -1 5 }}

| [[Hendecatonic comma]]

| Trisa-legu

| 8796093022208 / 8649755859375

| {{Monzo| 43 -11 -11 }}

| [[Tetracot comma]], minimal diesis

| Saquadyo

| 20000 / 19683

| {{Monzo| 5 -9 4 }}

| [[Semaja comma]]

| Lalaneyo

| 19073486328125 / 18786186952704

| {{Monzo| -33 -7 19 }}

| [[Quanic comma]]

| Sepsa-quinyo

|  

| {{Monzo| 74 -54 5 }}

| [[Roda]], rodan comma

| Sasa-triyo

| 131072000 / 129140163

| {{Monzo| 20 -17 3 }}

| 25.706

|  

|-

| [[Trisedodge comma]]

| Saquintrigu

| 30958682112 / 30517578125

| {{Monzo| 19 10 -15 }}

| [[Birds comma]]

| Quadsa-thiwegu

|

| {{Monzo| 72 0 -31 }}

| [[Neuk comma]]

| Trisa-yoyo

| 858993459200 / 847288609443

| {{Monzo| 35 -25 2 }}

| [[Maja comma]]

| Saseyo

| 762939453125 / 753145430616

| {{Monzo| -3 -23 17 }}

| [[Satin comma]]

| Quinbisa-triyo

|  

| {{Monzo| 104 -70 3 }}

| [[Misneb comma]]

| Quadla-quintriyo

| {{Monzo| -57 14 15 }}

| 22.076

| [[Maquila comma]]

| Trisa-segu

| 562949953421312 / 556182861328125

| {{Monzo| 49 -6 -17 }}

| [[Sfourth comma]]

| Lala-negu

| 617673396283947 / 610351562500000

| {{Monzo| -5 31 -19 }}

| [[Countermeantone comma]]

| Quinquadgu

| 96402615118848 / 95367431640625

| {{Monzo| 10 23 -20 }}

| [[Ditonma]]

| Lala-theyo

| 1220703125 / 1207959552

| {{Monzo| -27 -2 13 }}

| [[Misty comma]]

| Sasa-trigu

| 67108864 / 66430125

| {{Monzo| 26 -12 -3 }}

| [[Quintile comma]]

| Trila-quingu

| 847288609443 / 838860800000

| {{Monzo| -28 25 -5 }}

| [[Enneadecacot comma]]

| Tribisa-negu

| 562949953421312 / 557439598640741

| 17.029

| [[User:CompactStar|CompactStar]] (2024)

| [[Oquatonic comma]]

| Quadla-sepquadyo

| {{Monzo| -65 0 28 }}

| 16.784

| [[Undim comma]]

| Trisa-quadgu

| 2199023255552 / 2179240250625

| {{Monzo| 41 -20 -4 }}

| [[Graviton]], gravity comma

| Lala-tribigu

| 129140163 / 128000000

| {{Monzo| -13 17 -6 }}

| [[Majvam comma]]

| Sasa-lebigu

| {{Monzo| 40 7 -22 }}

| 14.783

| [[Quartonic comma]]

| Saleyo

| 390625000 / 387420489

| {{Monzo| 3 -18 11 }}

| [[Untritonic comma]]

| Quadla-tritriyo

| {{Monzo| -51 19 9 }}

| 13.968

| [[Quindromeda comma]]

| Quinsa-quingu

| {{Monzo| 56 -28 -5 }}

| 13.691

| [[Sensipent comma]], medium semicomma

| Sepgu

| 78732 / 78125

| {{Monzo| 2 9 -7 }}

| [[Copper comma]]

| Theneyo

|  

| {{Monzo| -481 261 29 }}

|-

| [[Counterwürschmidt comma]]

| {{Monzo| 55 -1 -23 }}

| 12.830

| [[Tertiosec comma]]

| Laquadtribiyo

|  

| {{Monzo| -89 21 24 }}

| [[Würschmidt comma]]

| Saquadbigu

| 393216 / 390625

| {{Monzo| 17 1 -8 }}

| [[Bicommatic comma]]

| Quadla-quinbigu

| {{Monzo| -37 38 -10 }}

| 11.153

| [[Counterhanson comma]]

| Quinquinyo

| {{Monzo| -20 -24 25 }}

| 10.923

| [[Countritonic comma]]

| Quadsa-tritriyo

| {{Monzo| 33 -34 9 }}

| 10.353

| [[Semicomma]], Fokker's comma

| Lasepyo

| 2109375 / 2097152

| {{Monzo| -21 3 7 }}

| [[Heptacot comma]]

| Sepsa-sepgu

|  

| {{Monzo| 86 -44 -7 }}

| [[Escapade comma]]

| Sasa-tritrigu

| 4294967296 / 4271484375

| {{Monzo| 32 -7 -9 }}

| [[15625/15552|Kleisma]], semicomma majeur

| Tribiyo

| 15625 / 15552

| {{Monzo| -6 -5 6 }}

| 8.1073

|-

| [[Quintosec comma]]

| Quadsa-quinbigu

| 140737488355328 / 140126044921875

| {{Monzo| 47 -15 -10 }}

| 59-5-comma

| Quadbisa-finegu

|  

| {{Monzo| 137 0 -59 }}

| [[Unidecma]]

| Laquadtrigu

| 31381059609 / 31250000000

| {{Monzo| -7 22 -12 }}

| [[Mutt comma]]

| Trila-septriyo

| 476837158203125 / 474989023199232

| {{Monzo| -44 -3 21 }}

| [[Sulfur comma]]

| Lela-quadquadgu

|  

| {{Monzo| -115 96 -16 }}

| [[Amity comma]]

| Saquinyo

| 1600000 / 1594323

| {{Monzo| 9 -13 5 }}

| 6.1536

|-

| [[Parakleisma]]

| Thegu

| 1224440064 / 1220703125

| {{Monzo| 8 14 -13 }}

| 5.2917

|-

| [[Gammic comma]]

| Laquinquadyo

| 95367431640625 / 95105071448064

| {{Monzo| -29 -11 20 }}

| [[Squarschmidt comma]]

| Quadsa-twenegu

| {{Monzo| 61 4 -29 }}

| 4.7223

| Huntian 15-cycle comma

| Quadtrisa-fothegu

|  

| {{Monzo| 168 -43 -43 }}

| [[Barium comma]]

| Quadtribila-sepquadbigu

|  

| {{Monzo| -225 224 -56 }}

| [[Vulture comma]]

| Sasa-quadyo

| 10485760000 / 10460353203

| {{Monzo| 24 -21 4 }}

| [[Dipromethia]]

| Thebila-siweyo

|

| {{Monzo| -335 122 61 }}

| [[Lafa comma]]

| Tribisa-quadtrigu

|

| {{Monzo| 77 -31 -12 }}

{| class="wikitable"

! Name(s)

! [[Ratio]]

! [[Monzo]]

| [[Doublehearted comma]]

| Quadbizo

| 5764801 / 5668704

| {{Monzo| -5 -11 0 8 }}

| [[Frostburn comma]]

| Quadru-asepyo

| 78125 / 76832

| {{Monzo| -5 0 7 -4 }}

| [[686/675|Senga]]

| Trizo-agugu

| 686 / 675

| {{Monzo| 1 -3 -2 3 }}

| 23-21-comma

| Sepla-twethezo

|  

| {{Monzo| -101 23 0 23 }}

| [[Mandos comma]]

| Birugugu

| 31104 / 30625

| {{Monzo| 7 5 -4 -2 }}

| [[Slither comma]]

| Satritriru-aquadyo

| 40960000 / 40353607

| {{Monzo| 16 0 4 -9 }}

| 33-7/5-comma

| Letrizogu

|  

| {{Monzo| -16 0 -33 33 }}

| Huntian 35-cycle comma

| Quintrisa-tritritribirugu

|  

| {{Monzo| 277 0 -54 -54 }}

| [[Blackjackisma]]

| Lasepru-aquadbiyo

| 854296875 / 843308032

| {{Monzo| -10 7 8 -7 }}

| [[Squalentine comma]]

| Laquadzo-atrigu

| 64827 / 64000

| {{Monzo| -9 3 -3 4 }}

| [[875/864|Keema]]

| Zotriyo

| 875 / 864

| {{Monzo| -5 -3 3 1 }}

| [[Betelgeuse comma]]

| Satritrizo-agugu

| 40353607 / 39858075

| {{Monzo| 0 -13 -2 9 }}

| [[3125/3087|Gariboh comma]]

| Triru-aquinyo

| 3125 / 3087

| {{Monzo| 0 -2 5 -3 }}

| [[Secanticornisma]]

| Laruquingu

| 177147 / 175000

| {{Monzo| -3 11 -5 -1 }}

| [[2430/2401|Nuwell comma]]

| Quadru-ayo

| 2430 / 2401

| {{Monzo| 1 5 1 -4 }}

| [[Mermisma]]

| Sepruyo

| 2500000 / 2470629

| {{Monzo| 5 -1 7 -7 }}

| [[Negricorn comma]], small quadruple bluish

| Saquadzogu

| 153664 / 151875

| {{monzo| 6 -5 -4 4 }}

| [[Icosipentatonic comma]], 25-36/35-comma

| Quinquinrugu

|  

| {{Monzo| 49 50 -25 -25 }}

| [[Valenwuer comma]]

| Sarutribigu

| 110592 / 109375

| {{Monzo| 12 3 -6 -1 }}

| [[Buzzardsma]], buzzard comma

| Saquadru

| 65536 / 64827

| {{Monzo| 16 -3 0 -4 }}

| Huntian 21-cycle comma

| Quadbisa-sepquadru

|  

| {{Monzo| 123 -28 0 -28 }}

| [[Mirwomo comma]]

| Labizoyo

| 33075 / 32768

| {{Monzo| -15 3 2 2 }}

| [[Catasyc comma]]

| Laruquadbiyo

| 390625 / 387072

| {{Monzo| -11 -3 8 -1 }}

| [[Compass comma]]

| Quinruyoyo

| 9765625 / 9680832

| {{monzo| -6 -2 10 -5 }}

| [[Trimyna comma]]

| Quinzogu

| 50421 / 50000

| {{monzo| -4 1 -5 5 }}

| [[126/125|Starling comma]], septimal semicomma

| Zotrigu

| 126 / 125

| {{Monzo| 1 2 -3 1 }}

| Slendro 34-comma

| Quinla-sequadzo

|  

| {{Monzo| -137 -34 0 68 }}

| [[4000/3969|Octagar comma]]

| Rurutriyo

| 4000 / 3969

| {{Monzo| 5 -4 3 -2 }}

| [[1728/1715|Orwellisma]]

| Triru-agu

| 1728 / 1715

| {{Monzo| 6 3 -1 -3 }}

| [[Mynaslender comma]]

| Sepru-ayo

| 829440 / 823543

| {{Monzo| 11 4 1 -7 }}

| 35-7/5-comma

| Sepquinruyo

|  

| {{monzo| 17 0 35 -35 }}

| [[Chromatisma]]

| Trisa-triru-aquadquadyo

| {{Monzo| 22 -32 16 -3 }}

| 11.982

| [[Mistisma]]

| Sazoquadgu

| 458752 / 455625

| {{Monzo| 16 -6 -4 1 }}

| [[Bronzisma]]

| Satriru-agugu

| 2097152 / 2083725

| {{Monzo| 21 -5 -2 -3 }}

| 34-jubilismic comma

| Sequadzogu

|  

| {{Monzo| -33 0 -68 68 }}

| [[26-7-comma]], Hunt 7-cycle comma

| Quadsa-thebiru

| {{Monzo| 73 0 0 -26 }}

| 10.526

| [[Septiness comma]]

| Sasasepru

| 67108864 / 66706983

| {{Monzo| 26 -4 0 -7 }}

| [[31-comma temperaments|31-35-comma]]

| Tritrila-thiwezoyo

|  

| {{Monzo| -159 0 31 31 }}

| [[Quince comma]]

| Lasepzo-agugu

| 823543 / 819200

| {{Monzo| -15 0 -2 7 }}

| 9.1539

|  

|-

| [[Historisma]]

| Latribizogu

| 257298363 / 256000000

| {{Monzo| -14 7 -6 6 }}

| [[1029/1024|Gamelisma]]

| Latrizo

| 1029 / 1024

| {{Monzo| -10 1 0 3 }}

| [[Varunisma]]

| Labizogugu

| 321489 / 320000

| {{Monzo| -9 8 -4 2 }}

| [[Dimcomp comma]]

| Quadruyoyo

| 390625 / 388962

| {{Monzo| -1 -4 8 -4 }}

| [[Cataharry comma]]

| Labirugu

| 19683 / 19600

| {{Monzo| -4 9 -2 -2 }}

| [[Procyon comma]]

| Sasepzo-atrigu

| 823543 / 820125

| {{Monzo| 0 -8 -3 7 }}

| [[Qiqi comma]]

| Sepruyoyo

| 48828125000 / 48629390607

| {{Monzo| 3 -10 14 -7 }}

| [[Mirkwai comma]]

| Quinru-aquadyo

| 16875 / 16807

| {{Monzo| 0 3 4 -5 }}

| [[Canousma]]

| Saquadzo-atriyo

| 4802000 / 4782969

| {{Monzo| 4 -14 3 4 }}

| [[Triwellisma]]

| Tribizo-asepgu

| 235298 / 234375

| {{Monzo| 1 -1 -7 6 }}

| [[Stearnsma]]

| Latribiru

| 118098 / 117649

| {{Monzo| 1 10 0 -6 }}

| [[10976/10935|Hemimage comma]]

| Satrizo-agu

| 10976 / 10935

| {{Monzo| 5 -7 -1 3 }}

| [[3136/3125|Hemimean comma]]

| Zozoquingu

| 3136 / 3125

| {{Monzo| 6 0 -5 2 }}

| [[Parkleiness comma]]

| Zotritrigu

| 1959552 / 1953125

| {{Monzo| 7 7 -9 1 }}

| [[Octaphore comma]], enneagari comma

| Sasa-quadbizo

| 94450499584 / 94143178827

| {{Monzo| 14 -23 0 8 }}

| [[Linus comma]]

| Saquinbizogu

| 578509309952 / 576650390625

| {{Monzo| 11 -10 -10 10 }}

| [[Reiwa comma]]

| Saquadru-asepyo

| 1280000000 / 1275989841

| {{monzo| 14 -12 7 -4 }}

| [[6144/6125|Porwell comma]]

| Sarurutrigu

| 6144 / 6125

| {{Monzo| 11 1 -3 -2 }}

| [[Cartoonisma]]

| Satritrizo-asepbigu

| 165288374272 / 164794921875

| {{Monzo| 12 -3 -14 9 }}

| [[Hemfiness comma]]

| Saquadru-atriyo

| 4096000 / 4084101

| {{Monzo| 15 -5 3 -5 }}

| [[Acrodec comma]]

| Sasa-tribizo-aquadbigu

| 7710244864 / 7688671875

| {{Monzo| 16 -9 -8 6 }}

| [[Hewuermera comma]]

| Satribiru-agu

| 589824 / 588245

| {{Monzo| 16 2 -1 -6 }}

| [[Hearts comma]]

| Trila-quadzo

| 34451725707 / 34359738368

| {{Monzo| -35 15 0 4 }}

| [[Lokisma]], loki comma

| Sasa-bizotrigu

| 102760448 / 102515625

| {{Monzo| 21 -8 -6 2 }}

| [[Wadisma]]

| Latritrizo-ayo

| 201768035 / 201326592

| {{Monzo| -26 -1 1 9 }}

|-

| [[Septimal enneadeca]]

| {{Monzo| -37 57 0 -19 }}

| 3.7428

| [[Quasiorwellisma]]

| Sazoquinbigu

| 29360128 / 29296875

| {{Monzo| 22 -1 -10 1 }}

{| class="wikitable"

! Name(s)

! Ratio

! Monzo

| [[Thuja comma]]

| Saquinlu-ayo

| 163840 / 161051

| {{Monzo| 15 0 1 0 -5 }}

| [[625/616|Quadrikite comma]]

| Luruquadyo

| 625 / 616

| {{Monzo| -3 0 4 -1 -1 }}

| [[1350/1331|Large tetracot diesis]]

| Trilu-ayoyo

| 1350 / 1331

| {{Monzo| 1 3 2 0 -3 }}

| [[Sevnothrush comma]]

| Loquingu

| 3168 / 3125

| {{Monzo| 5 2 -5 0 1 }}

| [[245/242|Frostma]]

| Biluzo-ayo

| 245 / 242

| {{Monzo| -1 0 1 2 -2 }}

| [[Distarma]]

| Trilozo

| 9317 / 9216

| {{Monzo|-10 -2 0 1 3}}

| [[1617/1600|Antimisma]]

| Lobizogu

| 1617 / 1600

| {{Monzo| -6 1 -2 2 1 }}

| 17.576

|  

|-

| [[100/99|Ptolemisma]]

| [[Hemimin comma]]

| Trilu-azo

| 1344 / 1331

| {{Monzo| 6 1 0 1 -3 }}

| [[Aphrowe comma]]

| Trilo-aruru

| 1331 / 1323

| {{Monzo| 0 -3 0 -2 3 }}

| [[Alpharabian comma]]

| Laquadlo

| 131769 / 131072

| {{Monzo| -17 2 0 0 4 }}

| [[Orgonisma]]

| Satrilu-aruru

| 65536 / 65219

| {{Monzo| 16 0 0 -2 -3 }}

| [[Quindecic comma]]

| Sasa-quintriloru

|  

| {{Monzo| 14 -15 0 -15 15 }}

| [[117649/117128]]

| Bilulutrizo-a

| 117649 / 117128

| {{Monzo| -3 0 0 6 -4 }}

| [[Topsy comma]]

| Quadlo-atrizo-asepgu

| 5021863 / 5000000

| {{Monzo| -6 0 -7 3 4 }}

| [[4375/4356|Fantares comma]]

| Luluzoquadyo

| 4375 / 4356

| {{Monzo| -2 -2 4 1 -2 }}

| [[Semicanousma]]

| Quadlo-agu

| 14641 / 14580

| {{Monzo| -2 -6 -1 0 4 }}

| [[3388/3375|Myhemiwell comma]]

| Lolozotrigu

| 3388 / 3375

| {{Monzo| 2 -3 -3 1 2 }}

| [[Pythrabian comma]]

| Trisalo

| 94489280512 / 94143178827

| {{Monzo| 33 -23 0 0 1 }}

| [[Octatonic comma]], undecimal octatonic comma

| Quadbilu

| 214990848 / 214358881

| {{Monzo| 15 8 0 0 -8 }}

| [[Trimitone comma]]

| Lalotrigu

| 8019 / 8000

| {{Monzo| -6 6 -3 0 1 }}

| [[4-cent comma]]

| Lutritryo

| 1953125 / 1948617

| {{Monzo| 0 -11 9 0 -1 }}

| [[1375/1372|Moctdel comma]]

| Lotriruyo

| 1375 / 1372

| {{Monzo| -2 0 3 -3 1 }}

| [[Unisquarisma]], unisquary comma

| Trilu-aquadzo-ayo

| 12005 / 11979

| {{Monzo| 0 -2 1 4 -3 }}

| [[6250/6237|Liganellus comma]], liganellisma

| Luruquinyo

| 6250 / 6237

| {{Monzo| 1 -4 5 -1 -1 }}

| [[Lovecraft comma]]

| Thothotrilu

| 1352/1331

| {{monzo|3 0 0 0 -3 2}}

| [[Hyperpyth comma]]

| Quadtho-aquingu

| 28561/28125

| {{Monzo| 0 -2 -5 0 0 4 }}

| [[343/338|Sooty fox comma]]

| Thuthutrizo

| 343/338

| 25.422

| [[Budjarn Lambeth]] (2024)

| [[507/500|Large semisixthma]]

| Thothotrigu

| 507/500

| {{Monzo| -2 1 -3 0 0 2 }}

| [[Greater tendoneutralisma]]

| Laquadbitho

| 815730721 / 805306368  

| {{Monzo| -28 -1 0 0 0 8 }}

| [[8281/8192|Diahuntmisma]]

| Labithozo

| 8281/8192

| {{Monzo| -13 0 0 2 0 2 }}

| [[28812/28561|Tesseract comma]]

| Quadthuzo

| 28812/28561

| {{Monzo| 2 1 0 4 0 -4 }}

| [[24167/24000]]

| Tritho-alotrigu

| 24167/24000

| {{Monzo| -6 -1 -3 0 1 3}}

| [[Lesser tendoneutralisma]]

| Sasa-quadtrithu

| 70368744177664 / 69894255367443  

| {{Monzo| 46 -1 0 0 0 -12 }}

| [[Dinos comma]]

| Lathuthuquingu

| 531441/528125

| {{Monzo| 0 12 -5 0 0 -2 }}

| [[3042/3025|Diagassormisma]]

| Bitholugu

| 3042/3025

| {{Monzo| 1 2 -2 0 -2 2 }}

| Greater nelindic comma

| Thothoquinru-ayoyo

| 16900/16807

| {{Monzo| 2 0 2 -5 0 2 }}

| [[Glacier comma]]

| Quinthu

| 373248/371293

| {{Monzo| 9 6 0 0 0 -5 }}

| [[1625/1617|Sopreisma]]

| Tholururutriyo

| 1625/1617

| {{Monzo| 0 -1 3 -2 -1 1 }}

| [[2197/2187|Threedie]]

| Satritho

| 2197/2187

| {{Monzo| 0 -7 0 0 0 3 }}

| 7.8980

|  

|-

| [[4394/4375|Hebrewsma]]

| Tritho-aruquadgu

| 4394/4375

| {{Monzo| 1 0 -4 -1 0 3 }}

| [[30E comma|2D9 comma]]

| Thotriyo

| 131625/131072

| {{Monzo|-17 4 3 0 0 1}}

| [[Brontesisma]]

| Trithu-azozoyo

| 2205/2197

| {{Monzo| 0 2 1 2 0 -3 }}

| [[Praveensma]]

| Thoquadzo

| 31213/31104

| {{Monzo| -7 -5 0 4 0 1 }}

| [[1573/1568|Lambeth comma]]

| Thobiloru

| 1573/1568

| {{Monzo| -5 0 0 -2 2 1 }}

| [[Valerisma]], Hunt 13-cycle comma

| Laquinbitho

| 137858491849 / 137438953472

| {{Monzo| -37 0 0 0 0 10 }}

| [[847/845|Cuthbert comma]]

| Bithulo-azogu

| 847/845

| {{Monzo| 0 0 -1 1 2 -2 }}

{| class="wikitable"

! Name(s)

! Ratio

! Monzo

| [[2197/2176|Mey comma]]

| Sutritho

| 2197/2176

| {{Monzo| -7 0 0 0 0 3 -1 }}

| 23-17-comma, 23 semitone comma

| Trila-twetheso

|  

| {{Monzo| -94 0 0 0 0 0 23 }}

| [[Douglas Blumeyer]]

|-

| Sugu

| 17ug1

| [[375/374|Ursulisma]]

| Sulutriyo

| 375/374

| {{Monzo| -1 1 3 0 -1 0 -1 }}

| [[80-17-comma]], 17-ripple <strike>integer cents</strike> comma{{clarify}}

| Lesa-quinquadquadsu

|  

| {{Monzo| 327 0 0 0 0 0 -80 }}

| [[Ume comma]]

| Nutriso

| 4913/4864

| {{Monzo| -8 0 0 0 0 0 3 -1 }}

| {{Monzo| -1 6 0 0 0 0 0 -2 }}

| 16.704

|-

| [[133/132|Minithirdma]]

| [[131072/130321|Undevicesimal Diminished Comma]], Hunt 19-cycle comma

| Saquadnu

| 131072 / 130321

| {{Monzo| 17 0 0 0 0 0 0 -4 }}

|-

| [[Eye comma]]

| 2312/2299