List of superparticular intervals: Difference between revisions

+placeholder descriptive names to 1156/1155 and 2601/2600
Update and styles
Line 51: Line 51:
| 5/2<sup>2</sup>
| 5/2<sup>2</sup>
| {{monzo|-2 0 1}}
| {{monzo|-2 0 1}}
| (classic) (5-limit) major third, 5th harmonic (octave reduced)
| classic/just major third, 5th harmonic (octave reduced)
|-
|-
| [[6/5]]
| [[6/5]]
Line 57: Line 57:
| (2*3)/5
| (2*3)/5
| {{monzo|1 1 -1}}
| {{monzo|1 1 -1}}
| (classic) (5-limit) minor third
| classic/just minor third
|-
|-
| [[10/9]]
| [[10/9]]
Line 69: Line 69:
| 2<sup>4</sup>/(3*5)
| 2<sup>4</sup>/(3*5)
| {{monzo|4 -1 -1}}
| {{monzo|4 -1 -1}}
| minor diatonic semitone, 15th subharmonic
| classic/just diatonic semitone, 15th subharmonic
|-
|-
| [[25/24]]
| [[25/24]]
Line 75: Line 75:
| 5<sup>2</sup>/(2<sup>3</sup>*3)
| 5<sup>2</sup>/(2<sup>3</sup>*3)
| {{monzo|-3 -1 2}}
| {{monzo|-3 -1 2}}
| chroma, (classic) chromatic semitone, Zarlinian semitone
| classic chromatic semitone, chroma, Zarlinian semitone
|-
|-
| [[81/80]]
| [[81/80]]
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| (3*5)/(2*7)
| (3*5)/(2*7)
| {{monzo|-1 1 1 -1}}
| {{monzo|-1 1 1 -1}}
| septimal diatonic semitone
| septimal major semitone, septimal diatonic semitone
|-
|-
| [[21/20]]
| [[21/20]]
Line 107: Line 107:
| (3*7)/(2<sup>2</sup>*5)
| (3*7)/(2<sup>2</sup>*5)
| {{monzo|-2 1 -1 1}}
| {{monzo|-2 1 -1 1}}
| minor semitone, large septimal chroma
| septimal minor semitone, large septimal chroma
|-
|-
| [[28/27]]
| [[28/27]]
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| (2<sup>2</sup>*7)/3<sup>3</sup>
| (2<sup>2</sup>*7)/3<sup>3</sup>
| {{monzo|2 -3 0 1}}
| {{monzo|2 -3 0 1}}
| septimal third-tone, small septimal chroma, (septimal) subminor second, septimal minor second, trienstonic comma
| septimal 1/3-tone, small septimal chroma, (septimal) subminor second, septimal minor second, trienstonic comma
|-
|-
| [[36/35]]
| [[36/35]]
Line 119: Line 119:
| (2<sup>2</sup>*3<sup>3</sup>)/(5*7)
| (2<sup>2</sup>*3<sup>3</sup>)/(5*7)
| {{monzo|2 2 -1 -1}}
| {{monzo|2 2 -1 -1}}
| septimal quarter tone, septimal diesis
| septimal 1/4-tone, septimal diesis
|-
|-
| [[49/48]]
| [[49/48]]
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| 7<sup>2</sup>/(2<sup>4</sup>*3)
| 7<sup>2</sup>/(2<sup>4</sup>*3)
| {{monzo|-4 -1 0 2}}
| {{monzo|-4 -1 0 2}}
| slendro diesis, large septimal diesis, septimal 1/6-tone
| slendro diesis, large septimal diesis, large septimal 1/6-tone
|-
|-
| [[50/49]]
| [[50/49]]
Line 131: Line 131:
| 2*(5/7)<sup>2</sup>
| 2*(5/7)<sup>2</sup>
| {{monzo|1 0 2 -2}}
| {{monzo|1 0 2 -2}}
| jubilisma, small septimal diesis, septimal 1/6-tone, tritonic diesis, Erlich's decatonic comma
| jubilisma, small septimal diesis, small septimal 1/6-tone, tritonic diesis, Erlich's decatonic comma
|-
|-
| [[64/63]]
| [[64/63]]
Line 169: Line 169:
| 11/(2*5)
| 11/(2*5)
| {{monzo|-1 0 -1 0 1}}
| {{monzo|-1 0 -1 0 1}}
| (large) (undecimal) neutral second, 4/5-tone, Ptolemy's second
| (large) undecimal neutral second, undecimal submajor second, Ptolemy's second
|-
|-
| [[12/11]]
| [[12/11]]
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| (2<sup>2</sup>*3)/11
| (2<sup>2</sup>*3)/11
| {{monzo|2 1 0 0 -1}}
| {{monzo|2 1 0 0 -1}}
| (small) (undecimal) neutral second, 3/4-tone
| (small) undecimal neutral second
|-
|-
| [[22/21]]
| [[22/21]]
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| (3*11)/2<sup>5</sup>
| (3*11)/2<sup>5</sup>
| {{monzo|-5 1 0 0 1}}
| {{monzo|-5 1 0 0 1}}
| undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, 33rd harmonic (octave reduced)
| undecimal 1/4-tone, undecimal diesis, al-Farabi's 1/4-tone, 33rd harmonic (octave reduced)
|-
|-
| [[45/44]]
| [[45/44]]
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| 3<sup>5</sup>/(2*11<sup>2</sup>)
| 3<sup>5</sup>/(2*11<sup>2</sup>)
| {{monzo|-1 5 0 0 -2}}
| {{monzo|-1 5 0 0 -2}}
| rastma, neutral third comma
| rastma, neutral thirds comma
|-
|-
| [[385/384]]
| [[385/384]]
Line 709: Line 709:
| (2<sup>2</sup>*19)/(3*5<sup>2</sup>)
| (2<sup>2</sup>*19)/(3*5<sup>2</sup>)
| {{monzo|2 -1 -2 0 0 0 0 1}}
| {{monzo|2 -1 -2 0 0 0 0 1}}
| undevicesimal 1/9-tone (greater)
| large undevicesimal 1/9-tone
|-
|-
| [[77/76]]
| [[77/76]]
Line 715: Line 715:
| (7*11)/(2<sup>2</sup>*19)
| (7*11)/(2<sup>2</sup>*19)
| {{monzo|-2 0 0 1 1 0 0 -1}}
| {{monzo|-2 0 0 1 1 0 0 -1}}
| undevicesimal 1/9-tone (lesser)
| small undevicesimal 1/9-tone
|-
|-
| [[96/95]]
| [[96/95]]
Line 1,059: Line 1,059:
| (3*23)/(2<sup>2</sup>*17)
| (3*23)/(2<sup>2</sup>*17)
|  
|  
| vicesimotertial 1/8-tone (greater)
| large vicesimotertial 1/8-tone
|-
|-
| [[70/69]]
| [[70/69]]
Line 1,065: Line 1,065:
| (2*5*7)/(3*23)
| (2*5*7)/(3*23)
|  
|  
| vicesimotertial 1/8-tone (lesser)
| small vicesimotertial 1/8-tone
|-
|-
| [[92/91]]
| [[92/91]]
Line 1,219: Line 1,219:
| 31/(2*3*5)
| 31/(2*3*5)
|  
|  
|  
| large tricesimoprimal 1/4-tone
|-
|-
| [[32/31]]
| [[32/31]]
Line 1,225: Line 1,225:
| 2<sup>5</sup>/31
| 2<sup>5</sup>/31
|  
|  
| 31st subharmonic
| small tricesimoprimal 1/4-tone, 31st subharmonic
|-
|-
| [[63/62]]
| [[63/62]]