Large comma: Difference between revisions
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m error corrections; move 77-comma |
added color names, also made the format consistent with the other two comma pages. |
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Line 1: | Line 1: | ||
Lists of commas over 100 cents in size. | Lists of commas over 100 cents in size. For commas under 100 cents, see [[Comma]]. For commas under 3.5 cents, see [[Unnoticeable comma]]. | ||
Except for the 3-limit commas, the [[Color notation|color name]] refers to both the comma and the temperament created when it is tempered out. | |||
==3-limit commas== | ==3-limit commas== | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | ! Name(s) | ||
! | ![[Color notation|Color Name]] | ||
! | ! Ratio | ||
! | ! Monzo | ||
! Cents | |||
|- | |- | ||
| whole tone | | whole tone | ||
|wa 2nd | |||
| [[9/8|9 / 8]] | | [[9/8|9 / 8]] | ||
| {{Monzo| -3 2 }} | | {{Monzo| -3 2 }} | ||
Line 21: | Line 19: | ||
|- | |- | ||
| apotome | | apotome | ||
|large wa unison | |||
| [[2187/2048|2187 / 2048]] | | [[2187/2048|2187 / 2048]] | ||
| {{Monzo| -11 7 }} | | {{Monzo| -11 7 }} | ||
Line 26: | Line 25: | ||
|- | |- | ||
| 19-comma | | 19-comma | ||
|wa-19 comma | |||
| 1162261467 / 1073741824 | | 1162261467 / 1073741824 | ||
| {{Monzo| -30 19 }} | | {{Monzo| -30 19 }} | ||
Line 31: | Line 31: | ||
|- | |- | ||
| 22-comma | | 22-comma | ||
|wa-22 comma | |||
| 34359738368 / 31381059609 | | 34359738368 / 31381059609 | ||
| {{Monzo| 35 -22 }} | | {{Monzo| 35 -22 }} | ||
Line 36: | Line 37: | ||
|- | |- | ||
| [[31_comma_temperaments|31-comma]] | | [[31_comma_temperaments|31-comma]] | ||
|wa-31 comma | |||
| 617673396283947 / 562949953421312 | | 617673396283947 / 562949953421312 | ||
| {{Monzo| -49 31 }} | | {{Monzo| -49 31 }} | ||
Line 41: | Line 43: | ||
|- | |- | ||
| 43-comma | | 43-comma | ||
|wa-43 comma | |||
| | | | ||
| {{Monzo| -68 43 }} | | {{Monzo| -68 43 }} | ||
Line 46: | Line 49: | ||
|- | |- | ||
| 46-comma | | 46-comma | ||
|wa-46 comma | |||
| | | | ||
| {{Monzo| 73 -46 }} | | {{Monzo| 73 -46 }} | ||
Line 51: | Line 55: | ||
|- | |- | ||
| 63-comma | | 63-comma | ||
|wa-63 comma | |||
| | | | ||
| {{Monzo| 100 -63 }} | | {{Monzo| 100 -63 }} | ||
Line 60: | Line 65: | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | ! Name(s) | ||
! | ![[Color notation|Color Name]] | ||
! | ! Ratio | ||
! | ! Monzo | ||
! Cents | |||
|- | |- | ||
| minor whole tone | | minor whole tone, yo 2nd | ||
|yo | |||
| 10 / 9 | | 10 / 9 | ||
| {{Monzo| 1 -2 1 }} | | {{Monzo| 1 -2 1 }} | ||
Line 71: | Line 78: | ||
|- | |- | ||
| 5-cycle major second, hexadecathird comma | | 5-cycle major second, hexadecathird comma | ||
| | |||
| 152587890625 / 137438953472 | | 152587890625 / 137438953472 | ||
| {{Monzo| -37 0 16 }} | | {{Monzo| -37 0 16 }} | ||
Line 76: | Line 84: | ||
|- | |- | ||
| acute limma | | acute limma | ||
| | |||
| 19073486328125 / 17592186044416 | | 19073486328125 / 17592186044416 | ||
| {{Monzo| -44 0 19 }} | | {{Monzo| -44 0 19 }} | ||
Line 81: | Line 90: | ||
|- | |- | ||
| <strike>meantone Integer cents comma</strike> | | <strike>meantone Integer cents comma</strike> | ||
| | |||
| | | | ||
| {{Monzo| -1393 0 600 }} | | {{Monzo| -1393 0 600 }} | ||
Line 86: | Line 96: | ||
|- | |- | ||
| 31-15-comma | | 31-15-comma | ||
| | |||
| | | | ||
| {{Monzo| -121 31 31 }} | | {{Monzo| -121 31 31 }} | ||
Line 91: | Line 102: | ||
|- | |- | ||
| 87-15-comma | | 87-15-comma | ||
| | |||
| | | | ||
| {{Monzo| 340 -87 -87 }} | | {{Monzo| 340 -87 -87 }} | ||
Line 96: | Line 108: | ||
|- | |- | ||
| enipucrop | | enipucrop | ||
|latriyo-one | |||
| 1125 / 1024 | | 1125 / 1024 | ||
| {{Monzo| -10 2 3 }} | | {{Monzo| -10 2 3 }} | ||
Line 101: | Line 114: | ||
|- | |- | ||
| supersharp | | supersharp | ||
|sayoyo | |||
| 800 / 729 | | 800 / 729 | ||
| {{Monzo| 5 -6 2 }} | | {{Monzo| 5 -6 2 }} | ||
Line 106: | Line 120: | ||
|- | |- | ||
| gorgo | | gorgo | ||
|lagugu | |||
| 2187 / 2000 | | 2187 / 2000 | ||
| {{Monzo| -4 7 -3 }} | | {{Monzo| -4 7 -3 }} | ||
Line 111: | Line 126: | ||
|- | |- | ||
| large limma | | large limma | ||
|gugu | |||
| [[27/25|27 / 25]] | | [[27/25|27 / 25]] | ||
| {{Monzo| 0 3 -2 }} | | {{Monzo| 0 3 -2 }} | ||
Line 116: | Line 132: | ||
|- | |- | ||
| lemba | | lemba | ||
|latribiyo | |||
| 140625 / 131072 | | 140625 / 131072 | ||
| {{Monzo| -17 2 6 }} | | {{Monzo| -17 2 6 }} | ||
Line 121: | Line 138: | ||
|- | |- | ||
| sixix | | sixix | ||
|quinyo | |||
| 3125 / 2916 | | 3125 / 2916 | ||
| {{Monzo| -2 -6 5 }} | | {{Monzo| -2 -6 5 }} | ||
Line 126: | Line 144: | ||
|- | |- | ||
| diesma | | diesma | ||
|lathegu | |||
| 10460353203 / 9765625000 | | 10460353203 / 9765625000 | ||
| {{Monzo| -3 21 -13 }} | | {{Monzo| -3 21 -13 }} | ||
Line 131: | Line 150: | ||
|- | |- | ||
| comic | | comic | ||
|saquadyo-two | |||
| 5120000 / 4782969 | | 5120000 / 4782969 | ||
| {{Monzo| 13 -14 4 }} | | {{Monzo| 13 -14 4 }} | ||
Line 136: | Line 156: | ||
|- | |- | ||
| just diatonic semitone | | just diatonic semitone | ||
|gu-two | |||
| [[16/15|16 / 15]] | | [[16/15|16 / 15]] | ||
| {{Monzo| 4 -1 -1 }} | | {{Monzo| 4 -1 -1 }} | ||
Line 141: | Line 162: | ||
|- | |- | ||
| beatles | | beatles | ||
|sasagugu | |||
| 524288 / 492075 | | 524288 / 492075 | ||
| {{Monzo| 19 -9 -2 }} | | {{Monzo| 19 -9 -2 }} | ||
Line 146: | Line 168: | ||
|- | |- | ||
| wronecki | | wronecki | ||
|latribigu | |||
| 531441 / 500000 | | 531441 / 500000 | ||
| {{Monzo| -5 12 -6 }} | | {{Monzo| -5 12 -6 }} | ||
Line 151: | Line 174: | ||
|- | |- | ||
| wesley | | wesley | ||
|lasepyo- | |||
negative-two | |||
| 78125 / 73728 | | 78125 / 73728 | ||
| {{Monzo| -13 -2 7 }} | | {{Monzo| -13 -2 7 }} | ||
Line 156: | Line 181: | ||
|- | |- | ||
| 11-3/5-comma | | 11-3/5-comma | ||
|leyo | |||
| 48828125 / 45349632 | | 48828125 / 45349632 | ||
| {{Monzo| -8 -11 11 }} | | {{Monzo| -8 -11 11 }} | ||
Line 161: | Line 187: | ||
|- | |- | ||
| 27-3/5-comma | | 27-3/5-comma | ||
| | |||
| | | | ||
| {{Monzo| 20 27 -27 }} | | {{Monzo| 20 27 -27 }} | ||
Line 166: | Line 193: | ||
|- | |- | ||
| 31-3/5-comma | | 31-3/5-comma | ||
| | |||
| | | | ||
| {{Monzo| 23 31 -31 }} | | {{Monzo| 23 31 -31 }} | ||
Line 171: | Line 199: | ||
|- | |- | ||
| 300-3/5-comma | | 300-3/5-comma | ||
| | |||
| | | | ||
| {{Monzo| -221 -300 300 }} | | {{Monzo| -221 -300 300 }} | ||
Line 180: | Line 209: | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | ! Name(s) | ||
! | ![[Color notation|Color Name]] | ||
! | ! Monzo | ||
! Cents | |||
|- | |- | ||
| major diatonic semitone, 15/14 | | major diatonic semitone, 15/14 | ||
|ruyo | |||
| {{Monzo| -1 1 1 -1 }} | | {{Monzo| -1 1 1 -1 }} | ||
| 119.443 | | 119.443 | ||
|- | |- | ||
| hexatone comma, 6-7-comma | | hexatone comma, 6-7-comma | ||
|satribiru | |||
| {{Monzo| 17 0 0 -6 }} | | {{Monzo| 17 0 0 -6 }} | ||
| 187.045 | | 187.045 | ||
|- | |- | ||
| hendecatone comma, 11-7-comma | | hendecatone comma, 11-7-comma | ||
|saleru | |||
| {{Monzo| 31 0 0 -11 }} | | {{Monzo| 31 0 0 -11 }} | ||
| 142.915 | | 142.915 | ||
|- | |- | ||
| 41-7-comma | | 41-7-comma | ||
| | |||
| {{Monzo| -115 0 0 41 }} | | {{Monzo| -115 0 0 41 }} | ||
| 121.862 | | 121.862 | ||
|- | |- | ||
| 46-7-comma | | 46-7-comma | ||
| | |||
| {{Monzo| -129 0 0 46 }} | | {{Monzo| -129 0 0 46 }} | ||
| 165.992 | | 165.992 | ||
|- | |- | ||
| 25-7/5-comma | | 25-7/5-comma | ||
| | |||
| {{Monzo| -12 0 -25 25 }} | | {{Monzo| -12 0 -25 25 }} | ||
| 162.805 | | 162.805 | ||
|- | |- | ||
| 27-7/5-comma | | 27-7/5-comma | ||
| | |||
| {{Monzo| -13 0 -27 27 }} | | {{Monzo| -13 0 -27 27 }} | ||
| 127.829 | | 127.829 | ||
|- | |- | ||
| 41-7/5-comma | | 41-7/5-comma | ||
| | |||
| {{Monzo| 20 0 41 -41 }} | | {{Monzo| 20 0 41 -41 }} | ||
| 117.000 | | 117.000 | ||
|- | |- | ||
| 43-7/5-comma | | 43-7/5-comma | ||
| | |||
| {{Monzo| 21 0 43 -43 }} | | {{Monzo| 21 0 43 -43 }} | ||
| 151.976 | | 151.976 | ||
|- | |- | ||
| 45-7/5-comma | | 45-7/5-comma | ||
| | |||
| {{Monzo| 22 0 45 -45 }} | | {{Monzo| 22 0 45 -45 }} | ||
| 186.951 | | 186.951 | ||
|- | |- | ||
| 8-21-comma | | 8-21-comma | ||
|lala-quadbizo | |||
| {{Monzo| -35 8 0 8 }} | | {{Monzo| -35 8 0 8 }} | ||
| 166.247 | | 166.247 | ||
|- | |- | ||
| 13-21-comma | | 13-21-comma | ||
|quadla-thezo-five | |||
| {{Monzo| -57 13 0 13 }} | | {{Monzo| -57 13 0 13 }} | ||
| 120.152 | | 120.152 | ||
|- | |- | ||
| 38-21-comma | | 38-21-comma | ||
| | |||
| {{Monzo| 167 -38 0 -38 }} | | {{Monzo| 167 -38 0 -38 }} | ||
| 110.326 | | 110.326 | ||
|- | |- | ||
| 43-21-comma | | 43-21-comma | ||
| | |||
| {{Monzo| 189 -43 0 -43 }} | | {{Monzo| 189 -43 0 -43 }} | ||
| 156.421 | | 156.421 | ||
|- | |- | ||
| 7-35-comma | | 7-35-comma | ||
|sasasepru | |||
| {{Monzo| 36 0 -7 -7 }} | | {{Monzo| 36 0 -7 -7 }} | ||
| 114.023 | | 114.023 | ||
|- | |- | ||
| 55-35-comma | | 55-35-comma | ||
| | |||
| {{Monzo| -282 0 55 55 }} | | {{Monzo| -282 0 55 55 }} | ||
| 132.679 | | 132.679 | ||
|- | |- | ||
| 63-35-comma | | 63-35-comma | ||
| | |||
| {{Monzo| -323 0 63 63 }} | | {{Monzo| -323 0 63 63 }} | ||
| 173.796 | | 173.796 | ||
Line 257: | Line 304: | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | ! Name(s) | ||
! | ![[Color notation|Color Name]] | ||
! | ! Monzo | ||
! Cents | |||
|- | |- | ||
| 12/11, 3/4-tone, undecimal neutral second | | 12/11, 3/4-tone, undecimal neutral second | ||
|lu | |||
| {{Monzo| 2 1 0 0 -1 }} | | {{Monzo| 2 1 0 0 -1 }} | ||
| 150.637 | | 150.637 | ||
|- | |- | ||
| 11/10, 4/5-tone, Ptolemy's second | | 11/10, 4/5-tone, Ptolemy's second | ||
|logu | |||
| {{Monzo| -1 0 -1 0 1 }} | | {{Monzo| -1 0 -1 0 1 }} | ||
| 165.004 | | 165.004 | ||
|- | |- | ||
| 11-enipucrop, 9-11-comma | | 11-enipucrop, 9-11-comma | ||
|latritrilo | |||
| {{Monzo| -31 0 0 0 9 }} | | {{Monzo| -31 0 0 0 9 }} | ||
| 161.862 | | 161.862 | ||
|- | |- | ||
| 11-cycle major second prote, 33-11-comma | | 11-cycle major second prote, 33-11-comma | ||
| | |||
| {{Monzo| -114 0 0 0 33 }} | | {{Monzo| -114 0 0 0 33 }} | ||
| 193.492 | | 193.492 | ||
Line 282: | Line 334: | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | ! Name(s) | ||
! | ![[Color notation|Color Name]] | ||
! | ! Monzo | ||
! Cents | |||
|- | |- | ||
| 14/13, 2/3-tone | | 14/13, 2/3-tone | ||
|thuzo | |||
| {{Monzo| 1 0 0 1 0 -1 }} | | {{Monzo| 1 0 0 1 0 -1 }} | ||
| 128.298 | | 128.298 | ||
|- | |- | ||
| 13/12, tridecimal 2/3-tone | | 13/12, tridecimal 2/3-tone | ||
|tho | |||
| {{Monzo| -2 -1 0 0 0 1 }} | | {{Monzo| -2 -1 0 0 0 1 }} | ||
| 138.573 | | 138.573 | ||
|- | |- | ||
| heptasixth comma, 13-cycle secor | | heptasixth comma, 13-cycle secor | ||
|sasepthu | |||
| {{Monzo| 26 0 0 0 0 -7 }} | | {{Monzo| 26 0 0 0 0 -7 }} | ||
| 116.306 | | 116.306 | ||
|- | |- | ||
| heptadecasixth comma, neutral thirteenth comma | | heptadecasixth comma, neutral thirteenth comma | ||
|sasa-sethu | |||
| {{Monzo| 63 0 0 0 0 -17 }} | | {{Monzo| 63 0 0 0 0 -17 }} | ||
| 111.030 | | 111.030 | ||
|- | |- | ||
| 13-cycle neutral second | | 13-cycle neutral second | ||
| | |||
| {{Monzo| -196 0 0 0 0 53 }} | | {{Monzo| -196 0 0 0 0 53 }} | ||
| 147.966 | | 147.966 | ||
Line 311: | Line 369: | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | ! Name(s) | ||
! | ![[Color notation|Color Name]] | ||
! | ! Monzo | ||
! Cents | |||
|- | |- | ||
| 17/16, 17th harmonic | | 17/16, 17th harmonic | ||
|iso | |||
| {{Monzo| -4 0 0 0 0 0 1 }} | | {{Monzo| -4 0 0 0 0 0 1 }} | ||
| 104.955 | | 104.955 | ||
Line 324: | Line 384: | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | ! Name(s) | ||
! | ! Monzo | ||
! | ! Cents | ||
|- | |- | ||
| 19-cycle meantone prima | | 19-cycle meantone prima |
Revision as of 08:01, 13 January 2019
Lists of commas over 100 cents in size. For commas under 100 cents, see Comma. For commas under 3.5 cents, see Unnoticeable comma.
Except for the 3-limit commas, the color name refers to both the comma and the temperament created when it is tempered out.
3-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents |
---|---|---|---|---|
whole tone | wa 2nd | 9 / 8 | [-3 2⟩ | 203.910 |
apotome | large wa unison | 2187 / 2048 | [-11 7⟩ | 113.685 |
19-comma | wa-19 comma | 1162261467 / 1073741824 | [-30 19⟩ | 137.145 |
22-comma | wa-22 comma | 34359738368 / 31381059609 | [35 -22⟩ | 156.990 |
31-comma | wa-31 comma | 617673396283947 / 562949953421312 | [-49 31⟩ | 160.605 |
43-comma | wa-43 comma | [-68 43⟩ | 184.065 | |
46-comma | wa-46 comma | [73 -46⟩ | 110.070 | |
63-comma | wa-63 comma | [100 -63⟩ | 176.835 |
5-limit commas
Name(s) | Color Name | Ratio | Monzo | Cents |
---|---|---|---|---|
minor whole tone, yo 2nd | yo | 10 / 9 | [1 -2 1⟩ | 182.404 |
5-cycle major second, hexadecathird comma | 152587890625 / 137438953472 | [-37 0 16⟩ | 181.019 | |
acute limma | 19073486328125 / 17592186044416 | [-44 0 19⟩ | 139.961 | |
[-1393 0 600⟩ | 188.228 | |||
31-15-comma | [-121 31 31⟩ | 136.330 | ||
87-15-comma | [340 -87 -87⟩ | 120.622 | ||
enipucrop | latriyo-one | 1125 / 1024 | [-10 2 3⟩ | 162.851 |
supersharp | sayoyo | 800 / 729 | [5 -6 2⟩ | 160.897 |
gorgo | lagugu | 2187 / 2000 | [-4 7 -3⟩ | 154.744 |
large limma | gugu | 27 / 25 | [0 3 -2⟩ | 133.238 |
lemba | latribiyo | 140625 / 131072 | [-17 2 6⟩ | 121.792 |
sixix | quinyo | 3125 / 2916 | [-2 -6 5⟩ | 119.839 |
diesma | lathegu | 10460353203 / 9765625000 | [-3 21 -13⟩ | 118.977 |
comic | saquadyo-two | 5120000 / 4782969 | [13 -14 4⟩ | 117.885 |
just diatonic semitone | gu-two | 16 / 15 | [4 -1 -1⟩ | 111.731 |
beatles | sasagugu | 524288 / 492075 | [19 -9 -2⟩ | 109.778 |
wronecki | latribigu | 531441 / 500000 | [-5 12 -6⟩ | 105.578 |
wesley | lasepyo-
negative-two |
78125 / 73728 | [-13 -2 7⟩ | 100.286 |
11-3/5-comma | leyo | 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 | ||
300-3/5-comma | [-221 -300 300⟩ | 107.614 |
7-limit commas
Name(s) | Color Name | Monzo | Cents |
---|---|---|---|
major diatonic semitone, 15/14 | ruyo | [-1 1 1 -1⟩ | 119.443 |
hexatone comma, 6-7-comma | satribiru | [17 0 0 -6⟩ | 187.045 |
hendecatone comma, 11-7-comma | saleru | [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 | lala-quadbizo | [-35 8 0 8⟩ | 166.247 |
13-21-comma | quadla-thezo-five | [-57 13 0 13⟩ | 120.152 |
38-21-comma | [167 -38 0 -38⟩ | 110.326 | |
43-21-comma | [189 -43 0 -43⟩ | 156.421 | |
7-35-comma | sasasepru | [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) | Color Name | Monzo | Cents |
---|---|---|---|
12/11, 3/4-tone, undecimal neutral second | lu | [2 1 0 0 -1⟩ | 150.637 |
11/10, 4/5-tone, Ptolemy's second | logu | [-1 0 -1 0 1⟩ | 165.004 |
11-enipucrop, 9-11-comma | latritrilo | [-31 0 0 0 9⟩ | 161.862 |
11-cycle major second prote, 33-11-comma | [-114 0 0 0 33⟩ | 193.492 |
13-limit commas
Name(s) | Color Name | Monzo | Cents |
---|---|---|---|
14/13, 2/3-tone | thuzo | [1 0 0 1 0 -1⟩ | 128.298 |
13/12, tridecimal 2/3-tone | tho | [-2 -1 0 0 0 1⟩ | 138.573 |
heptasixth comma, 13-cycle secor | sasepthu | [26 0 0 0 0 -7⟩ | 116.306 |
heptadecasixth comma, neutral thirteenth comma | sasa-sethu | [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) | Color Name | Monzo | Cents |
---|---|---|---|
17/16, 17th harmonic | iso | [-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 |