List of superparticular intervals: Difference between revisions
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| Line 263: | Line 263: | ||
| [[9801/9800]] | | [[9801/9800]] | ||
| 0.17665 | | 0.17665 | ||
| | | (11/(5*7))<sup>2</sup>*3<sup>4</sup>/2<sup>3</sup> | ||
| {{Monzo|-3 4 -2 -2 2}} | | {{Monzo|-3 4 -2 -2 2}} | ||
| Gauss comma, kalisma | | Gauss comma, kalisma | ||
| Line 385: | Line 385: | ||
| [[729/728]] | | [[729/728]] | ||
| 2.3764 | | 2.3764 | ||
| | | (3<sup>2</sup>/2)<sup>3</sup>/(7*13) | ||
| {{Monzo|-3 6 0 -1 0 -1}} | | {{Monzo|-3 6 0 -1 0 -1}} | ||
| squbema | | squbema | ||
| Line 397: | Line 397: | ||
| [[1716/1715]] | | [[1716/1715]] | ||
| 1.0092 | | 1.0092 | ||
| | | 2<sup>2</sup>*3*11*13/(5*7<sup>3</sup>) | ||
| {{Monzo|2 1 -1 -3 1 1}} | | {{Monzo|2 1 -1 -3 1 1}} | ||
| lummic comma | | lummic comma | ||
| Line 403: | Line 403: | ||
| [[2080/2079]] | | [[2080/2079]] | ||
| 0.83252 | | 0.83252 | ||
| | | 2<sup>5</sup>*5*13/(3<sup>3</sup>*7*11) | ||
| {{Monzo|5 -3 1 -1 -1 1}} | | {{Monzo|5 -3 1 -1 -1 1}} | ||
| ibnsinma | | ibnsinma | ||
| Line 409: | Line 409: | ||
| [[4096/4095]] | | [[4096/4095]] | ||
| 0.42272 | | 0.42272 | ||
| | | (2<sup>6</sup>/3)<sup>2</sup>/(5*7*13) | ||
| {{Monzo|12 -2 -1 -1 0 -1}} | | {{Monzo|12 -2 -1 -1 0 -1}} | ||
| tridecimal schisma, Sagittal schismina | | tridecimal schisma, Sagittal schismina | ||
| Line 415: | Line 415: | ||
| [[4225/4224]] | | [[4225/4224]] | ||
| 0.40981 | | 0.40981 | ||
| | | (5*13)<sup>2</sup>/(2<sup>7</sup>*3*11) | ||
| {{Monzo|-7 -1 2 0 -1 2}} | | {{Monzo|-7 -1 2 0 -1 2}} | ||
| leprechaun comma | | leprechaun comma | ||
| Line 421: | Line 421: | ||
| [[6656/6655]] | | [[6656/6655]] | ||
| 0.26012 | | 0.26012 | ||
| | | (2<sup>3</sup>/11)<sup>3</sup>*13/5 | ||
| {{Monzo|9 0 -1 0 -3 1}} | | {{Monzo|9 0 -1 0 -3 1}} | ||
| jacobin comma | | jacobin comma | ||
| Line 427: | Line 427: | ||
| [[10648/10647]] | | [[10648/10647]] | ||
| 0.16260 | | 0.16260 | ||
| | | (2*11)<sup>3</sup>/((3*13)<sup>2</sup>*7) | ||
| {{Monzo|3 -2 0 -1 3 -2}} | | {{Monzo|3 -2 0 -1 3 -2}} | ||
| harmonisma | | harmonisma | ||
| Line 433: | Line 433: | ||
| [[123201/123200]] | | [[123201/123200]] | ||
| 0.014052 | | 0.014052 | ||
| | | (3/2)<sup>6</sup>*(13/5)<sup>2</sup>/(7*11) | ||
| {{Monzo|-6 6 -2 -1 -1 2}} | | {{Monzo|-6 6 -2 -1 -1 2}} | ||
| chalmersia | | chalmersia | ||
| Line 697: | Line 697: | ||
| (3*13)/(2*19) | | (3*13)/(2*19) | ||
| {{Monzo|-1 1 0 0 0 1 0 -1}} | | {{Monzo|-1 1 0 0 0 1 0 -1}} | ||
| | | undevicesimal 2/9-tone | ||
|- | |- | ||
| [[57/56]] | | [[57/56]] | ||
| Line 812: | Line 812: | ||
| {{Monzo|-9 3 0 0 0 0 0 1}} | | {{Monzo|-9 3 0 0 0 0 0 1}} | ||
| 513th harmonic | | 513th harmonic | ||
|- | |||
| 969/968 | |||
| 1.7875 | |||
| (3*17*19)/(2<sup>3</sup>*11<sup>2</sup>) | |||
| {{Monzo|-3 1 0 0 -2 0 1 1}} | |||
| | |||
|- | |||
| 1216/1215 | |||
| 1.4243 | |||
| (2<sup>6</sup>*19)/(3<sup>5</sup>*5) | |||
| {{Monzo|6 -5 -1 0 0 0 0 1}} | |||
| | |||
|- | |||
| 1331/1330 | |||
| 1.3012 | |||
| 11<sup>3</sup>/(2*5*7*19) | |||
| {{Monzo|-1 0 -1 -1 3 0 0 -1}} | |||
| | |||
|- | |||
| 1445/1444 | |||
| 1.1985 | |||
| 5*(17/(2*19))<sup>2</sup> | |||
| {{Monzo|-2 0 1 0 0 0 2 -2}} | |||
| | |||
|- | |||
| 1521/1520 | |||
| 1.1386 | |||
| (3*13)<sup>2</sup>/(2<sup>4</sup>*5*19) | |||
| {{Monzo|-4 2 -1 0 0 2 0 -1}} | |||
| | |||
|- | |||
| 1540/1539 | |||
| 1.1245 | |||
| (2<sup>2</sup>*5*7*11)/(3<sup>4</sup>*19) | |||
| {{Monzo|2 -4 1 1 1 0 0 -1}} | |||
| | |||
|- | |||
| 1729/1728 | |||
| 1.0016 | |||
| (7*13*19)/(2<sup>6</sup>*3<sup>3</sup>) | |||
| {{Monzo|-6 -3 0 1 0 1 0 1}} | |||
| | |||
|- | |- | ||
! colspan="5" | 23-limit (incomplete) | ! colspan="5" | 23-limit (incomplete) | ||
| Line 819: | Line 861: | ||
| 23/(2*11) | | 23/(2*11) | ||
| | | | ||
| | | greater vicesimotertial semitone | ||
|- | |- | ||
| [[24/23]] | | [[24/23]] | ||
| Line 825: | Line 867: | ||
| (2<sup>3</sup>*3)/23 | | (2<sup>3</sup>*3)/23 | ||
| | | | ||
| | | small vicesimotertial semitone | ||
|- | |- | ||
| [[46/45]] | | [[46/45]] | ||