Large comma: Difference between revisions
Wikispaces>FREEZE No edit summary |
added some simple ratios; formatting fixes |
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Line 19: | Line 19: | ||
|- | |- | ||
| | 19-comma | | | 19-comma | ||
| | | | | 1162261467 / 1073741824 | ||
| | | -30 19 > | | | | -30 19 > | ||
| | 137.145 | | | 137.145 | ||
|- | |||
| | 22-comma | |||
| | 34359738368 / 31381059609 | |||
| | | 35 -22 > | |||
| | 156.990 | |||
|- | |- | ||
| | [[31_comma_temperaments|31-comma]] | | | [[31_comma_temperaments|31-comma]] | ||
| | | | | 617673396283947 / 562949953421312 | ||
| | | -49 31 > | | | | -49 31 > | ||
| | 160.605 | | | 160.605 | ||
Line 32: | Line 37: | ||
| | | -68 43 > | | | | -68 43 > | ||
| | 184.065 | | | 184.065 | ||
|- | |- | ||
| | 46-comma | | | 46-comma | ||
Line 62: | Line 62: | ||
! | monzo | ! | monzo | ||
! | cents | ! | cents | ||
|- | |||
| | minor whole tone | |||
| | 10 / 9 | |||
| | | 1 -2 1 > | |||
| | 182.40 | |||
|- | |- | ||
| | 5-cycle major second, hexadecathird comma | | | 5-cycle major second, hexadecathird comma | ||
| | | | | 152587890625 / 137438953472 | ||
| | | -37 0 16 > | | | | -37 0 16 > | ||
| | 181.019 | | | 181.019 | ||
|- | |- | ||
| | acute limma | | | acute limma | ||
| | | | | 19073486328125 / 17592186044416 | ||
| | | -44 0 19 > | | | | -44 0 19 > | ||
| | 139.961 | | | 139.961 | ||
Line 105: | Line 110: | ||
| | large limma | | | large limma | ||
| | [[27/25|27 / 25]] | | | [[27/25|27 / 25]] | ||
| | | 0 3 - | | | | 0 3 -2 > | ||
| | 133.238 | | | 133.238 | ||
|- | |- | ||
| | lemba | | | lemba | ||
| | | | | 140625 / 131072 | ||
| | | -17 2 6 > | | | | -17 2 6 > | ||
| | 121.792 | | | 121.792 | ||
Line 119: | Line 124: | ||
|- | |- | ||
| | diesma | | | diesma | ||
| | | | | 10460353203 / 9765625000 | ||
| | | -3 21 -13 > | | | | -3 21 -13 > | ||
| | 118.977 | | | 118.977 | ||
|- | |- | ||
| | comic | | | comic | ||
| | | | | 5120000 / 4782969 | ||
| | | 13 -14 4 > | | | | 13 -14 4 > | ||
| | 117.885 | | | 117.885 | ||
Line 134: | Line 139: | ||
|- | |- | ||
| | beatles | | | beatles | ||
| | | | | 524288 / 492075 | ||
| | | 19 -9 -2 > | | | | 19 -9 -2 > | ||
| | 109.778 | | | 109.778 | ||
|- | |- | ||
| | wronecki | | | wronecki | ||
| | | | | 531441 / 500000 | ||
| | | -5 12 -6 > | | | | -5 12 -6 > | ||
| | 105.578 | | | 105.578 | ||
Line 149: | Line 154: | ||
|- | |- | ||
| | 11-3/5-comma | | | 11-3/5-comma | ||
| | | | | 48828125 / 45349632 | ||
| | | -8 -11 11 > | | | | -8 -11 11 > | ||
| | 127.946 | | | 127.946 | ||
Line 176: | Line 181: | ||
! | monzo | ! | monzo | ||
! | cents | ! | cents | ||
|- | |||
| | major diatonic semitone, 15/14 | |||
| | | -1 1 1 -1 > | |||
| | 119.443 | |||
|- | |- | ||
| | hexatone comma, 6-7-comma | | | hexatone comma, 6-7-comma | ||
Line 202: | Line 211: | ||
|- | |- | ||
| | 41-7/5-comma | | | 41-7/5-comma | ||
| | | | | | | 20 0 41 -41 > | ||
| | 117.000 | | | 117.000 | ||
|- | |- | ||
| | 43-7/5-comma | | | 43-7/5-comma | ||
| | | | | | | 21 0 43 -43 > | ||
| | 151.976 | | | 151.976 | ||
|- | |- | ||
| | 45-7/5-comma | | | 45-7/5-comma | ||
| | | | | | | 22 0 45 -45 > | ||
| | 186.951 | | | 186.951 | ||
|- | |- | ||
Line 249: | Line 258: | ||
! | monzo | ! | monzo | ||
! | cents | ! | cents | ||
|- | |||
| | 12/11, 3/4-tone, undecimal neutral second | |||
| | | 2 1 0 0 -1 > | |||
| | 150.637 | |||
|- | |||
| | 11/10, 4/5-tone, Ptolemy's second | |||
| | | -1 0 -1 0 1 > | |||
| | 165.004 | |||
|- | |- | ||
| | 11-enipucrop, 9-11-comma | | | 11-enipucrop, 9-11-comma | ||
Line 264: | Line 281: | ||
|- | |- | ||
! | name(s) | ! | name(s) | ||
! | | ! | monzo | ||
! | cents | |||
|- | |||
| | 14/13, 2/3-tone | |||
| | | 1 0 0 1 0 -1 > | |||
| | 128.298 | |||
|- | |||
| | 13/12, tridecimal 2/3-tone | |||
| | | -2 -1 0 0 0 1 > | |||
| | 138.573 | |||
|- | |- | ||
| | heptasixth comma, 13-cycle secor | | | heptasixth comma, 13-cycle secor | ||
| | | 26 | | | | 26 0 0 0 0 -7 > | ||
| | 116.306 | | | 116.306 | ||
|- | |- | ||
| | heptadecasixth comma, neutral thirteenth comma | | | heptadecasixth comma, neutral thirteenth comma | ||
| | | 63 | | | | 63 0 0 0 0 -17 > | ||
| | 111.030 | | | 111.030 | ||
|- | |- | ||
| | 13-cycle neutral second | | | 13-cycle neutral second | ||
| | | -196 | | | | -196 0 0 0 0 53 > | ||
| | 147.966 | | | 147.966 | ||
|} | |||
==17-limit commas== | |||
{| class="wikitable" | |||
|- | |||
! | name(s) | |||
! | monzo | |||
! | cents | |||
|- | |||
| | 17/16, 17th harmonic | |||
| | | -4 0 0 0 0 0 1 > | |||
| | 104.955 | |||
|} | |} | ||
Line 284: | Line 322: | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | | ! | name(s) | ||
! | | ! | monzo | ||
! | | ! | cents | ||
|- | |- | ||
| | | | | 19-cycle meantone prima | ||
| | | -174 0 0 0 0 0 0 41 > | | | | -174 0 0 0 0 0 0 41 > | ||
| | 198.034 | | | 198.034 | ||
|- | |- | ||
| | | | | 19-cycle meantone secunda | ||
| | | -191 0 0 0 0 0 0 45 > | | | | -191 0 0 0 0 0 0 45 > | ||
| | 188.086 | | | 188.086 | ||
Line 300: | Line 338: | ||
| | 178.138 | | | 178.138 | ||
|- | |- | ||
| | | | | 19-cycle submajor second | ||
| | | -225 0 0 0 0 0 0 53 > | | | | -225 0 0 0 0 0 0 53 > | ||
| | 168.190 | | | 168.190 | ||
|} | |} |