List of superparticular intervals: Difference between revisions
+placeholder descriptive names to 1156/1155 and 2601/2600 |
Update and styles |
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| Line 51: | Line 51: | ||
| 5/2<sup>2</sup> | | 5/2<sup>2</sup> | ||
| {{monzo|-2 0 1}} | | {{monzo|-2 0 1}} | ||
| | | 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/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}} | ||
| | | 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}} | ||
| | | classic chromatic semitone, chroma, Zarlinian semitone | ||
|- | |- | ||
| [[81/80]] | | [[81/80]] | ||
| Line 101: | Line 101: | ||
| (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]] | ||
| Line 113: | Line 113: | ||
| (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 | | 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 | | septimal 1/4-tone, septimal diesis | ||
|- | |- | ||
| [[49/48]] | | [[49/48]] | ||
| Line 125: | Line 125: | ||
| 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) | | (large) undecimal neutral second, undecimal submajor second, Ptolemy's second | ||
|- | |- | ||
| [[12/11]] | | [[12/11]] | ||
| Line 175: | Line 175: | ||
| (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) | | (small) undecimal neutral second | ||
|- | |- | ||
| [[22/21]] | | [[22/21]] | ||
| Line 187: | Line 187: | ||
| (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 | | undecimal 1/4-tone, undecimal diesis, al-Farabi's 1/4-tone, 33rd harmonic (octave reduced) | ||
|- | |- | ||
| [[45/44]] | | [[45/44]] | ||
| Line 235: | Line 235: | ||
| 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 | | 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 | | 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 | | 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 | | 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 | | 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]] | ||