List of superparticular intervals: Difference between revisions

! [[Monzo]]

! Name(s)

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! colspan="6" | 2-limit (complete)

| {{monzo|2 -1}}

| perfect fourth, 3rd subharmonic (octave reduced), diatessaron

|-

| [[9/8]]

| {{monzo|-3 2}}

| (Pythagorean) (whole) tone, Pythagorean major second, major whole tone, 9th harmonic or harmonic ninth (octave reduced)

|-

! colspan="6" | 5-limit (complete)

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

| classic/just diatonic semitone, 15th subharmonic

|-

| [[25/24]]

| {{monzo|-3 -1 2}}

| classic/just chromatic semitone, chroma, Zarlinian semitone

|-

| [[81/80]]

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

| syntonic comma, Didymus comma

|-

! colspan="6" | 7-limit (complete)

| {{monzo|2 2 -1 -1}}

| septimal 1/4-tone, septimal diesis

|-

| [[49/48]]

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

| slendro diesis, large septimal diesis, large septimal 1/6-tone

|-

| [[50/49]]

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

| septimal comma, Archytas' comma

|-

| [[126/125]]

| {{monzo|-5 2 2 -1}}

| marvel comma, septimal kleisma

|-

| [[2401/2400]]

| {{monzo|-5 -1 -2 4}}

| breedsma

|-

| [[4375/4374]]

| {{monzo|2 -2 2 0 -1}}

| ptolemisma, Ptolemy's comma

|-

| [[121/120]]

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

| biyatisma, undecimal seconds comma

|-

| [[176/175]]

| {{monzo|-3 2 -1 2 -1}}

| werckisma, Werckmeister's undecimal septenarian schisma

|-

| [[540/539]]

| {{monzo|-4 -3 2 -1 2}}

| lehmerisma

|-

| [[9801/9800]]

| {{monzo|-3 4 -2 -2 2}}

| kalisma, Gauss comma

|-

! colspan="6" | 13-limit (complete)

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

| grossma

|-

| [[169/168]]

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

| buzurgisma, dhanvantarisma

|-

| [[196/195]]

| {{monzo|2 -1 -1 2 0 -1}}

| [[Mynucumic_chords|mynucuma]]

|-

| [[325/324]]

| {{monzo|-4 -1 4 0 0 -1}}

| tunbarsma

|-

| [[676/675]]

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

| island comma

|-

| [[729/728]]

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

| squbema

|-

| [[1001/1000]]

| {{monzo|12 -2 -1 -1 0 -1}}

| schismina, tridecimal schisma

|-

| [[4225/4224]]

| {{monzo|-7 -1 2 0 -1 2}}

| leprechaun comma

|-

| [[6656/6655]]

| {{monzo|-6 6 -2 -1 -1 2}}

| chalmersia

|-

! colspan="6" | 17-limit (complete)

| {{monzo|8 -1 -1 0 0 0 -1}}

| septendecimal kleisma, 255th subharmonic

|-

| [[273/272]]

| {{monzo|-5 -2 0 0 0 0 2}}

| septendecimal 6-cent comma

|-

| 375/374

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

| twosquare comma

|-

| 1156/1155

| {{monzo|2 -1 -1 -1 -1 0 2}}

| septendecimal 1/4-tones comma

|-

| [[1225/1224]]

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

| noema

|-

| 1275/1274

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

|  

|-

| 0.66573

| (3²*17²)/(2³*5²*13)

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

| septendecimal 1/6-tones comma

|-

| 4914/4913

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

| sparkisma

|-

| 28561/28560

| {{monzo|-4 -1 -1 -1 0 4 -1}}

|  

|-

| 31213/31212

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

| scintillisma

|-

| 336141/336140

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

| nusu comma

|-

| 343/342

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

| go comma

|-

| 400/399

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

|  

|-

| 456/455

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

| pinkanberry

|-

| 1540/1539

|

|-

| 1.0016

| (7*13*19)/(2⁶*3³)

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

|  

|-

| 3250/3249

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

|  

|-

| 5929/5928

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

|  

|-

| 5985/5984

| {{monzo|-4 4 0 -1 -1 0 1 -1}}

|  

|-

| 27456/27455

| {{monzo|2 -2 2 0 0 -2 2 -1}}

|  

|-

| 43681/43680

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

|  

|-

| 89376/89375

| {{monzo|4 8 -2 0 0 0 -1 -1 -1}}

|  

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| 165376/165375

| {{monzo|-8 -5 -1 0 2 2 2 -1}}

|  

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| 11859211/11859210

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| 507/506

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| 576/575

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