Large comma: Difference between revisions

TallKite (talk | contribs)
Corrected Zu to Ru, also other minor corrections, added columns for the short color name and for the ratio
Line 7: Line 7:
|-
|-
! Name(s)
! Name(s)
![[Color notation|Color Name]]
! colspan="2" |[[Color notation|Color Name]]
! Ratio
! Ratio
! Monzo
! Monzo
Line 14: Line 14:
| whole tone
| whole tone
| wa 2nd
| wa 2nd
|w2
| [[9/8|9 / 8]]
| [[9/8|9 / 8]]
| {{Monzo| -3 2 }}
| {{Monzo| -3 2 }}
Line 20: Line 21:
| 43-comma
| 43-comma
| wa-43 comma
| wa-43 comma
|w-43
|  
|  
| {{Monzo| -68 43 }}
| {{Monzo| -68 43 }}
Line 26: Line 28:
| 63-comma
| 63-comma
| wa-63 comma
| wa-63 comma
|w-63
|  
|  
| {{Monzo| 100 -63 }}
| {{Monzo| 100 -63 }}
Line 32: Line 35:
| [[31_comma_temperaments|31-comma]]
| [[31_comma_temperaments|31-comma]]
| wa-31 comma
| wa-31 comma
|w-31
| 617673396283947 / 562949953421312
| 617673396283947 / 562949953421312
| {{Monzo| -49 31 }}
| {{Monzo| -49 31 }}
Line 38: Line 42:
| 22-comma
| 22-comma
| wa-22 comma
| wa-22 comma
|w-22
| 34359738368 / 31381059609
| 34359738368 / 31381059609
| {{Monzo| 35 -22 }}
| {{Monzo| 35 -22 }}
Line 44: Line 49:
| 19-comma
| 19-comma
| wa-19 comma
| wa-19 comma
|w-19
| 1162261467 / 1073741824
| 1162261467 / 1073741824
| {{Monzo| -30 19 }}
| {{Monzo| -30 19 }}
Line 50: Line 56:
| apotome
| apotome
| large wa unison
| large wa unison
|Lw1
| [[2187/2048|2187 / 2048]]
| [[2187/2048|2187 / 2048]]
| {{Monzo| -11 7 }}
| {{Monzo| -11 7 }}
Line 56: Line 63:
| 46-comma
| 46-comma
| wa-46 comma
| wa-46 comma
|w-46
|  
|  
| {{Monzo| 73 -46 }}
| {{Monzo| 73 -46 }}
Line 66: Line 74:
|-
|-
! Name(s)
! Name(s)
![[Color notation|Color Name]]
! colspan="2" |[[Color notation|Color Name]]
! Ratio
! Ratio
! Monzo
! Monzo
Line 72: Line 80:
|-
|-
| <strike>meantone Integer cents comma</strike>
| <strike>meantone Integer cents comma</strike>
|
|
|
|
|
Line 78: Line 87:
|-
|-
| 31-3/5-comma
| 31-3/5-comma
|
|
|
|  
|  
Line 85: Line 95:
| minor whole tone, yo 2nd
| minor whole tone, yo 2nd
| Yo
| Yo
|y2
| [[10/9|10 / 9]]
| [[10/9|10 / 9]]
| {{Monzo| 1 -2 1 }}
| {{Monzo| 1 -2 1 }}
Line 90: Line 101:
|-
|-
| 5-cycle major second, hexadecathird comma
| 5-cycle major second, hexadecathird comma
|
|
|
| 152587890625 / 137438953472
| 152587890625 / 137438953472
Line 97: Line 109:
| enipucrop
| enipucrop
| Latriyobi
| Latriyobi
|Ly<sup>3</sup>1
| 1125 / 1024
| 1125 / 1024
| {{Monzo| -10 2 3 }}
| {{Monzo| -10 2 3 }}
Line 103: Line 116:
| supersharp
| supersharp
| Sayoyo
| Sayoyo
|syy2
| 800 / 729
| 800 / 729
| {{Monzo| 5 -6 2 }}
| {{Monzo| 5 -6 2 }}
Line 109: Line 123:
| gorgo, laconic
| gorgo, laconic
| Latrigubi
| Latrigubi
|Lg<sup>3</sup>2
| 2187 / 2000
| 2187 / 2000
| {{Monzo| -4 7 -3 }}
| {{Monzo| -4 7 -3 }}
Line 114: Line 129:
|-
|-
| acute limma
| acute limma
|
|
|
| 19073486328125 / 17592186044416
| 19073486328125 / 17592186044416
Line 120: Line 136:
|-
|-
| 31-15-comma
| 31-15-comma
|
|
|
|  
|  
Line 127: Line 144:
| large limma
| large limma
| Gugu
| Gugu
|gg2
| [[27/25|27 / 25]]
| [[27/25|27 / 25]]
| {{Monzo| 0 3 -2 }}
| {{Monzo| 0 3 -2 }}
Line 133: Line 151:
| 11-3/5-comma
| 11-3/5-comma
| Leyo
| Leyo
|y<sup>11</sup>-2
| 48828125 / 45349632
| 48828125 / 45349632
| {{Monzo| -8 -11 11 }}
| {{Monzo| -8 -11 11 }}
Line 138: Line 157:
|-
|-
| 27-3/5-comma
| 27-3/5-comma
|
|
|
|  
|  
Line 145: Line 165:
| lemba
| lemba
| Latribiyo
| Latribiyo
|Ly<sup>6</sup>-2
| 140625 / 131072
| 140625 / 131072
| {{Monzo| -17 2 6 }}
| {{Monzo| -17 2 6 }}
Line 150: Line 171:
|-
|-
| 87-15-comma
| 87-15-comma
|
|
|
|  
|  
Line 157: Line 179:
| sixix
| sixix
| Quinyo
| Quinyo
|y<sup>5</sup>1
| 3125 / 2916
| 3125 / 2916
| {{Monzo| -2 -6 5 }}
| {{Monzo| -2 -6 5 }}
Line 163: Line 186:
| diesma
| diesma
| Lathegu
| Lathegu
|Lg<sup>13</sup>3
| 10460353203 / 9765625000
| 10460353203 / 9765625000
| {{Monzo| -3 21 -13 }}
| {{Monzo| -3 21 -13 }}
Line 169: Line 193:
| comic
| comic
| Saquadyobi
| Saquadyobi
|sy<sup>4</sup>2
| 5120000 / 4782969
| 5120000 / 4782969
| {{Monzo| 13 -14 4 }}
| {{Monzo| 13 -14 4 }}
Line 175: Line 200:
| just diatonic semitone
| just diatonic semitone
| Gubi
| Gubi
|g2
| [[16/15|16 / 15]]
| [[16/15|16 / 15]]
| {{Monzo| 4 -1 -1 }}
| {{Monzo| 4 -1 -1 }}
Line 180: Line 206:
|-
|-
| beatles
| beatles
| Sasagugu
| Sasa-gugu
|ssgg3
| 524288 / 492075
| 524288 / 492075
| {{Monzo| 19 -9 -2 }}
| {{Monzo| 19 -9 -2 }}
Line 186: Line 213:
|-
|-
| 300-3/5-comma
| 300-3/5-comma
|
|
|
|  
|  
Line 193: Line 221:
| wronecki
| wronecki
| Latribigu
| Latribigu
|Lg<sup>6</sup>2
| 531441 / 500000
| 531441 / 500000
| {{Monzo| -5 12 -6 }}
| {{Monzo| -5 12 -6 }}
Line 199: Line 228:
| wesley
| wesley
| Lasepyobi
| Lasepyobi
|Ly<sup>7</sup>-2
| 78125 / 73728
| 78125 / 73728
| {{Monzo| -13 -2 7 }}
| {{Monzo| -13 -2 7 }}
Line 209: Line 239:
|-
|-
! Name(s)
! Name(s)
![[Color notation|Color Name]]
! colspan="2" |[[Color notation|Color Name]]
!Ratio
! Monzo
! Monzo
! Cents
! Cents
|-
|-
|augmented whole-tone, zu 2nd
|augmented whole-tone, ru 2nd
|Zu
|Ru
|r2
|8/7
|<nowiki>| 3 0 0 -1 ></nowiki>
|<nowiki>| 3 0 0 -1 ></nowiki>
|231.174
|231.174
Line 220: Line 253:
| hexatone comma, 6-7-comma
| hexatone comma, 6-7-comma
| Satribiru
| Satribiru
|sr<sup>6</sup>-2
|
| {{Monzo| 17 0 0 -6 }}
| {{Monzo| 17 0 0 -6 }}
| 187.045
| 187.045
|-
|-
| 45-7/5-comma
| 45-7/5-comma
|
|
|
|
| {{Monzo| 22 0 45 -45 }}
| {{Monzo| 22 0 45 -45 }}
Line 229: Line 266:
|-
|-
| 63-35-comma
| 63-35-comma
|
|
|
|
| {{Monzo| -323 0 63 63 }}
| {{Monzo| -323 0 63 63 }}
Line 235: Line 274:
| 8-21-comma
| 8-21-comma
| Lala-quadbizo
| Lala-quadbizo
|LLz<sup>8</sup>4
|
| {{Monzo| -35 8 0 8 }}
| {{Monzo| -35 8 0 8 }}
| 166.247
| 166.247
|-
|-
| 46-7-comma
| 46-7-comma
|
|
|
|
| {{Monzo| -129 0 0 46 }}
| {{Monzo| -129 0 0 46 }}
Line 244: Line 287:
|-
|-
| 25-7/5-comma
| 25-7/5-comma
|
|
|
|
| {{Monzo| -12 0 -25 25 }}
| {{Monzo| -12 0 -25 25 }}
Line 249: Line 294:
|-
|-
| 43-21-comma
| 43-21-comma
|
|
|
|
| {{Monzo| 189 -43 0 -43 }}
| {{Monzo| 189 -43 0 -43 }}
Line 254: Line 301:
|-
|-
| 43-7/5-comma
| 43-7/5-comma
|
|
|
|
| {{Monzo| 21 0 43 -43 }}
| {{Monzo| 21 0 43 -43 }}
Line 259: Line 308:
|-
|-
| hendecatone comma, 11-7-comma
| hendecatone comma, 11-7-comma
| Saleru
| Sasa-leru
|ssr<sup>11</sup>-4
|
| {{Monzo| 31 0 0 -11 }}
| {{Monzo| 31 0 0 -11 }}
| 142.915
| 142.915
|-
|-
| 55-35-comma
| 55-35-comma
|
|
|
|
| {{Monzo| -282 0 55 55 }}
| {{Monzo| -282 0 55 55 }}
Line 269: Line 322:
|-
|-
| 27-7/5-comma
| 27-7/5-comma
|
|
|
|
| {{Monzo| -13 0 -27 27 }}
| {{Monzo| -13 0 -27 27 }}
Line 274: Line 329:
|-
|-
| 41-7-comma
| 41-7-comma
|
|
|
|
| {{Monzo| -115 0 0 41 }}
| {{Monzo| -115 0 0 41 }}
Line 280: Line 337:
| 13-21-comma
| 13-21-comma
| Quadla-thezobi
| Quadla-thezobi
|L<sup>4</sup>z<sup>13</sup>5
|
| {{Monzo| -57 13 0 13 }}
| {{Monzo| -57 13 0 13 }}
| 120.152
| 120.152
|-
|-
| major diatonic semitone, 15/14
| major diatonic semitone
| Ruyo
| Ruyo
|ry1
|15/14
| {{Monzo| -1 1 1 -1 }}
| {{Monzo| -1 1 1 -1 }}
| 119.443
| 119.443
|-
|-
| 41-7/5-comma
| 41-7/5-comma
|
|
|
|
| {{Monzo| 20 0 41 -41 }}
| {{Monzo| 20 0 41 -41 }}
Line 294: Line 357:
|-
|-
| 7-35-comma
| 7-35-comma
| Sasasepru
| Sasa-seprugu
|ssr<sup>7</sup>g<sup>7</sup>1
|
| {{Monzo| 36 0 -7 -7 }}
| {{Monzo| 36 0 -7 -7 }}
| 114.023
| 114.023
|-
|-
| 38-21-comma
| 38-21-comma
|
|
|
|
| {{Monzo| 167 -38 0 -38 }}
| {{Monzo| 167 -38 0 -38 }}
Line 309: Line 376:
|-
|-
! Name(s)
! Name(s)
![[Color notation|Color Name]]
! colspan="2" |[[Color notation|Color Name]]
!Ratio
! Monzo
! Monzo
! Cents
! Cents
|-
|-
| 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
|-
|-
| 11/10, 4/5-tone, Ptolemy's second
| 4/5-tone, Ptolemy's second
| Logu
| Logu
|1og2
|11/10
| {{Monzo| -1 0 -1 0 1 }}
| {{Monzo| -1 0 -1 0 1 }}
| 165.004
| 165.004
Line 325: Line 397:
| 11-enipucrop, 9-11-comma
| 11-enipucrop, 9-11-comma
| Latritrilo
| Latritrilo
|L1o<sup>9</sup>-2
|
| {{Monzo| -31 0 0 0 9 }}
| {{Monzo| -31 0 0 0 9 }}
| 161.862
| 161.862
|-
|-
| 12/11, 3/4-tone, undecimal neutral second
| 3/4-tone, undecimal neutral second
| Lu
| Lu
|1u2
|12/11
| {{Monzo| 2 1 0 0 -1 }}
| {{Monzo| 2 1 0 0 -1 }}
| 150.637
| 150.637
Line 339: Line 415:
|-
|-
! Name(s)
! Name(s)
![[Color notation|Color Name]]
! colspan="2" |[[Color notation|Color Name]]
!Ratio
! Monzo
! Monzo
! Cents
! Cents
|-
|-
| 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
|-
|-
| 13/12, tridecimal 2/3-tone
| tridecimal 2/3-tone
| Tho
| Tho
|3o2
|13/12
| {{Monzo| -2 -1 0 0 0 1 }}
| {{Monzo| -2 -1 0 0 0 1 }}
| 138.573
| 138.573
|-
|-
| 14/13, 2/3-tone
| 2/3-tone
| Thuzo
| Thuzo
|3uz2
|14/13
| {{Monzo| 1 0 0 1 0 -1 }}
| {{Monzo| 1 0 0 1 0 -1 }}
| 128.298
| 128.298
Line 360: Line 443:
| heptasixth comma, 13-cycle secor
| heptasixth comma, 13-cycle secor
| Sasepthu
| Sasepthu
|s3u<sup>7</sup>1
|
| {{Monzo| 26 0 0 0 0 -7 }}
| {{Monzo| 26 0 0 0 0 -7 }}
| 116.306
| 116.306
Line 365: Line 450:
| heptadecasixth comma, neutral thirteenth comma
| heptadecasixth comma, neutral thirteenth comma
| Sasa-sethubi
| Sasa-sethubi
|ss3u<sup>7</sup>-2
|
| {{Monzo| 63 0 0 0 0 -17 }}
| {{Monzo| 63 0 0 0 0 -17 }}
| 111.030
| 111.030
Line 374: Line 461:
|-
|-
! Name(s)
! Name(s)
![[Color notation|Color Name]]
! colspan="2" |[[Color notation|Color Name]]
!Ratio
! Monzo
! Monzo
! Cents
! Cents
|-
|-
|17-limit rational eventone
|17-limit rational eventone
|
|Sogubi
|17og3
|17/15
|<nowiki>| 0 -1 -1 0 0 0 1 ></nowiki>
|<nowiki>| 0 -1 -1 0 0 0 1 ></nowiki>
|216.687
|216.687
|-
|-
| 17/16, 17th harmonic
| 17th harmonic
| Iso
| Iso
|17o2
|17/16
| {{Monzo| -4 0 0 0 0 0 1 }}
| {{Monzo| -4 0 0 0 0 0 1 }}
| 104.955
| 104.955
Line 394: Line 486:
|-
|-
! Name(s)
! Name(s)
! colspan="2" |[[Color notation|Color Name]]
!Ratio
! Monzo
! Monzo
! Cents
! Cents
|-
|-
| 19-cycle meantone prima
| 19-cycle meantone prima
|
|
|
| {{Monzo| -174 0 0 0 0 0 0 41 }}
| {{Monzo| -174 0 0 0 0 0 0 41 }}
| 198.034
| 198.034
|-
|-
|19-limit rational meantone
|19-limit rational meantone
|Nosu
|19o17u
|19/17
|<nowiki>| 0 0 0 0 0 0 -1 1 ></nowiki>
|<nowiki>| 0 0 0 0 0 0 -1 1 ></nowiki>
|192.558
|192.558
|-
|-
| 19-cycle meantone secunda
| 19-cycle meantone secunda
|
|
|
| {{Monzo| -191 0 0 0 0 0 0 45 }}
| {{Monzo| -191 0 0 0 0 0 0 45 }}
| 188.086
| 188.086
|-
|-
| 19-cycle minor tone
| 19-cycle minor tone
|
|
|
| {{Monzo| -208 0 0 0 0 0 0 49 }}
| {{Monzo| -208 0 0 0 0 0 0 49 }}
| 178.138
| 178.138
|-
|-
| 19-cycle submajor second
| 19-cycle submajor second
|
|
|
| {{Monzo| -225 0 0 0 0 0 0 53 }}
| {{Monzo| -225 0 0 0 0 0 0 53 }}
| 168.190
| 168.190
|}
|}