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

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| [[9/8]]

| {{monzo|-3 2}}

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

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

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

| classic/just diatonic semitone, 15th subharmonic

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| [[25/24]]

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

| classic/just chromatic semitone, chroma, Zarlinian semitone

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| [[81/80]]

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

| syntonic comma, Didymus comma

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

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

| septimal 1/4-tone, septimal diesis

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| [[49/48]]

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

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

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| [[50/49]]

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

| septimal comma, Archytas' comma

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| [[126/125]]

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

| marvel comma, septimal kleisma

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| [[2401/2400]]

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

| breedsma

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| [[4375/4374]]

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

| ptolemisma, Ptolemy's comma

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| [[121/120]]

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

| biyatisma, undecimal seconds comma

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| [[176/175]]

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

| werckisma, Werckmeister's undecimal septenarian schisma

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| [[540/539]]

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

| lehmerisma

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| [[9801/9800]]

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

| kalisma, Gauss comma

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

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

| grossma

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| [[169/168]]

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

| buzurgisma, dhanvantarisma

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| [[196/195]]

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

| [[Mynucumic_chords|mynucuma]]

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| [[325/324]]

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

| tunbarsma

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| [[676/675]]

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

| island comma

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| [[729/728]]

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

| squbema

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| [[1001/1000]]

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

| schismina, tridecimal schisma

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| [[4225/4224]]

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

| leprechaun comma

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| [[6656/6655]]

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

| chalmersia

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

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

| septendecimal kleisma, 255th subharmonic

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| [[273/272]]

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

| septendecimal 6-cent comma

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| 375/374

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

| twosquare comma

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| [[1156/1155]]

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

| septendecimal 1/4-tones comma

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| [[1225/1224]]

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

| noellisma

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| 1275/1274

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

|  

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| [[2601/2600]]

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

| septendecimal 1/6-tones comma

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| 4914/4913

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

| sparkisma

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| 28561/28560

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

|  

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| 31213/31212

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

| scintillisma

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| 336141/336140

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

| nusu comma

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| 343/342

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

| go comma

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| 400/399

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

|  

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| 456/455

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

| pinkanberry

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| 1540/1539

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

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| 3250/3249

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

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| 5929/5928

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

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| 5985/5984

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

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| 27456/27455

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

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| 43681/43680

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

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| 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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| 736/735

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| 2185/2184

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! colspan="6" | 29-limit (incomplete)

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! colspan="6" | 31-limit (incomplete)

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! colspan="6" | 37-limit (incomplete)

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[[Category:Interval collection]]

[[Category:Superparticular]]