Large comma: Difference between revisions

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autopatrolled, Sysops
523 edits
added some simple ratios; formatting fixes
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
|-
| | 22-comma
| |
| | | 35 -22 >
| | 156.990
|-
|-
| | 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 -1 >
| | | 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
| | | 21 0 41 -41 >
| | | 20 0 41 -41 >
| | 117.000
| | 117.000
|-
|-
| | 43-7/5-comma
| | 43-7/5-comma
| | | 22 0 43 -43 >
| | | 21 0 43 -43 >
| | 151.976
| | 151.976
|-
|-
| | 45-7/5-comma
| | 45-7/5-comma
| | | 23 0 45 -45 >
| | | 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)
! | <span style="display: block; text-align: center;">monzo</span>
! | monzo
! | <span style="display: block; text-align: center;"><span style="display: block; text-align: center;">cents</span></span>
! | cents
|-
| | 14/13, 2/3-tone
| | | 1 0 0 1 0 -1 &gt;
| | 128.298
|-
| | 13/12, tridecimal 2/3-tone
| | | -2 -1 0 0 0 1 &gt;
| | 138.573
|-
|-
| | heptasixth comma, 13-cycle secor
| | heptasixth comma, 13-cycle secor
| | | 26 0 0 0 0 0 -7 &gt;
| | | 26 0 0 0 0 -7 &gt;
| | 116.306
| | 116.306
|-
|-
| | heptadecasixth comma, neutral thirteenth comma
| | heptadecasixth comma, neutral thirteenth comma
| | | 63 0 0 0 0 0 -17 &gt;
| | | 63 0 0 0 0 -17 &gt;
| | 111.030
| | 111.030
|-
|-
| | 13-cycle neutral second
| | 13-cycle neutral second
| | | -196 0 0 0 0 0 53 &gt;
| | | -196 0 0 0 0 53 &gt;
| | 147.966
| | 147.966
|}
==17-limit commas==
{| class="wikitable"
|-
! | name(s)
! | monzo
! | cents
|-
| | 17/16, 17th harmonic
| | | -4 0 0 0 0 0 1 &gt;
| | 104.955
|}
|}


Line 284: Line 322:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | <span style="display: block; text-align: center;">name(s)</span>
! | name(s)
! | <span style="display: block; text-align: center;">monzo</span>
! | monzo
! | <span style="display: block; text-align: center;">cents</span>
! | cents
|-
|-
| | <span style="font-size: 12.800000190734863px;">19-cycle meantone prima</span>
| | 19-cycle meantone prima
| | | -174 0 0 0 0 0 0 41 &gt;
| | | -174 0 0 0 0 0 0 41 &gt;
| | 198.034
| | 198.034
|-
|-
| | <span style="font-size: 12.800000190734863px;">19-cycle meantone secunda</span>
| | 19-cycle meantone secunda
| | | -191 0 0 0 0 0 0 45 &gt;
| | | -191 0 0 0 0 0 0 45 &gt;
| | 188.086
| | 188.086
Line 300: Line 338:
| | 178.138
| | 178.138
|-
|-
| | <span style="font-size: 12.800000190734863px;">19-cycle submajor second</span>
| | 19-cycle submajor second
| | | -225 0 0 0 0 0 0 53 &gt;
| | | -225 0 0 0 0 0 0 53 &gt;
| | 168.190
| | 168.190
|}
|}

Revision as of 15:39, 23 November 2018

3-limit commas

name(s) ratio monzo cents
whole tone 9 / 8 | -3 2 > 203.910
apotome 2187 / 2048 | -11 7 > 113.685
19-comma 1162261467 / 1073741824 | -30 19 > 137.145
22-comma 34359738368 / 31381059609 | 35 -22 > 156.990
31-comma 617673396283947 / 562949953421312 | -49 31 > 160.605
43-comma | -68 43 > 184.065
46-comma | 73 -46 > 110.070
63-comma | 100 -63 > 176.835
77-comma | 122 -77 > 176.815

5-limit commas

name(s) ratio monzo cents
minor whole tone 10 / 9 | 1 -2 1 > 182.40
5-cycle major second, hexadecathird comma 152587890625 / 137438953472 | -37 0 16 > 181.019
acute limma 19073486328125 / 17592186044416 | -44 0 19 > 139.961
meantone Integer cents comma | -1393 0 600 > 188.228
31-15-comma | 121 -31 -31 > 136.330
87-15-comma | 340 -87 -87 > 120.622
enipucrop 1125 / 1024 | -10 2 3 > 162.851
supersharp 800 / 729 | 5 -6 2 > 160.897
gorgo 2187 / 2000 | -4 7 -3 > 154.744
large limma 27 / 25 | 0 3 -2 > 133.238
lemba 140625 / 131072 | -17 2 6 > 121.792
sixix 3125 / 2916 | -2 -6 5 > 119.839
diesma 10460353203 / 9765625000 | -3 21 -13 > 118.977
comic 5120000 / 4782969 | 13 -14 4 > 117.885
just diatonic semitone 16 / 15 | 4 -1 -1 > 111.731
beatles 524288 / 492075 | 19 -9 -2 > 109.778
wronecki 531441 / 500000 | -5 12 -6 > 105.578
wesley 78125 / 73728 | -13 -2 7 > 100.286
11-3/5-comma 48828125 / 45349632 | -8 -11 11 > 127.946
27-3/5-comma | 20 27 -27 > 122.315
31-3/5-comma | 23 31 -31 > 184.880
Keemun Integer cents comma | 221 300 -300 > 107.614

7-limit commas

name(s) monzo cents
major diatonic semitone, 15/14 | -1 1 1 -1 > 119.443
hexatone comma, 6-7-comma | 17 0 0 -6 > 187.045
hendecatone comma, 11-7-comma | 31 0 0 -11 > 142.915
41-7-comma | -115 0 0 41 > 121.862
46-7-comma | -129 0 0 46 > 165.992
25-7/5-comma | -12 0 -25 25 > 162.805
27-7/5-comma | -13 0 -27 27 > 127.829
41-7/5-comma | 20 0 41 -41 > 117.000
43-7/5-comma | 21 0 43 -43 > 151.976
45-7/5-comma | 22 0 45 -45 > 186.951
8-21-comma | -35 8 0 8 > 166.247
13-21-comma | -57 13 0 13 > 120.152
38-21-comma | 167 -38 0 -38 > 110.3255
43-21-comma | 189 -43 0 -43 > 156.421
7-35-comma | 36 0 -7 -7 > 114.023
55-35-comma | -282 0 55 55 > 132.679
63-35-comma | -323 0 63 63 > 173.796

11-limit commas

name(s) monzo 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 | -31 0 0 0 9 > 161.8615
11-cycle major second prote, 33-11-comma | -114 0 0 0 33 > 193.492

13-limit commas

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 | 26 0 0 0 0 -7 > 116.306
heptadecasixth comma, neutral thirteenth comma | 63 0 0 0 0 -17 > 111.030
13-cycle neutral second | -196 0 0 0 0 53 > 147.966

17-limit commas

name(s) monzo cents
17/16, 17th harmonic | -4 0 0 0 0 0 1 > 104.955

19-limit commas

name(s) monzo cents
19-cycle meantone prima | -174 0 0 0 0 0 0 41 > 198.034
19-cycle meantone secunda | -191 0 0 0 0 0 0 45 > 188.086
19-cycle minor tone | -208 0 0 0 0 0 0 49 > 178.138
19-cycle submajor second | -225 0 0 0 0 0 0 53 > 168.190
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