Large comma: Difference between revisions

BudjarnLambeth (talk | contribs)
Added paragraph about disputed status
Contribution (talk | contribs)
No edit summary
 
(9 intermediate revisions by 5 users not shown)
Line 10: Line 10:
To varying degrees, the status of each of the commas on this page as "a comma" is disputed. Due to their large size in [[cents]], many of these commas lead to high-[[damage]] temperaments when tempered out. Which calls into question whether they can actually be used as commas.
To varying degrees, the status of each of the commas on this page as "a comma" is disputed. Due to their large size in [[cents]], many of these commas lead to high-[[damage]] temperaments when tempered out. Which calls into question whether they can actually be used as commas.


Those which have a highly complex monzo and ratio tend to distribute their error more thinly across a wide number of [[JI]] intervals, making them more 'comma-like' than the others on this page. Some still dispute this due to their perhaps limited ability to make [[comma pump]]s. However they are less controversial than the ones on this page with simpler monzos and ratios.
Those which have a highly complex monzo and ratio tend to distribute their error more thinly across a wide number of [[JI]] intervals, making them more 'comma-like' than the others on this page. Some still dispute this due to their perhaps limited ability to make [[comma pump]]s. However they are more widely accepted than the ones on this page with simpler monzos and ratios.


== List of commas, by prime limit ==
== List of commas, by prime limit ==
===[[3-limit commas]]===
=== 3-limit commas ===
{{See also| Table of 3-limit commas }}
 
{| class="wikitable"
{| class="wikitable"
|-
|-
! Name(s)
! Name(s)
! colspan="2" |[[Color notation|Color Name]]
! colspan="2" | [[Kite's color notation|Color name]]
! Ratio
! Ratio
! Monzo
! Monzo
Line 23: Line 25:
|-
|-
| [[26-comma]]
| [[26-comma]]
| Wa-26
| 26wM, Thebiwama
| w-26
| 26wM
| 2541865828329 / 2199023255552
| 2541865828329 / 2199023255552
| {{monzo| -41 26 }}
| {{Monzo| -41 26 }}
| 250.83
| 250.83
|-
|-
| 27-comma
| 27-comma
| Wa-27
| 27wama
| w-27
| 27wM
| 8796093022208 / 7625597484987
| 8796093022208 / 7625597484987
| {{monzo| 43 -27 }}
| {{Monzo| 43 -27 }}
| 247.21
| 247.21
|-
|-
| [[9/8|Pythagorean whole tone]]
| [[9/8|Pythagorean whole tone]]
| Wa 2nd
| Wabima
| w2
| w2M
| 9 / 8
| 9 / 8
| {{monzo| -3 2 }}
| {{Monzo| -3 2 }}
| 203.91
| 203.91
|-
|-
| 43-comma
| 43-comma
| Wa-43
| 43wama
| w-43
| 43wM
|  
|  
| {{monzo| -68 43 }}
| {{Monzo| -68 43 }}
| 184.065
| 184.07
|-
|-
| 63-comma
| 63-comma
| Wa-63
| 63wama
| w-63
| 63wM
|  
|  
| {{monzo| 100 -63 }}
| {{Monzo| 100 -63 }}
| 176.835
| 176.83
|-
|-
| [[31st-octave temperaments|31-comma]]
| [[31-comma]]
| Wa-31
| 31wama, Thiwewama
| w-31
| 31wM
| 617673396283947 / <br>562949953421312
| 617673396283947 / <br>562949953421312
| {{monzo| -49 31 }}
| {{Monzo| -49 31 }}
| 160.605
| 160.61
|-
|-
| 22-comma
| 22-comma
| Wa-22
| 22wama, Lebiwama
| w-22
| 22wM
| 34359738368 / <br>31381059609
| 34359738368 / <br>31381059609
| {{monzo| 35 -22 }}
| {{Monzo| 35 -22 }}
| 156.99
| 156.99
|-
|-
| 19-comma
| [[19-comma]]
| Wa-19
| 19wama, Newama
| w-19
| 19wM
| 1162261467 / 1073741824
| 1162261467 / 1073741824
| {{monzo| -30 19 }}
| {{Monzo| -30 19 }}
| 137.145
| 137.15
|-
|-
| [[2187/2048|Apotome]]
| [[2187/2048|Pythagorean apotome]], whitewood comma
| Lawa
| Lawama
| Lw1
| LwM
| 2187 / 2048
| 2187 / 2048
| {{monzo| -11 7 }}
| {{Monzo| -11 7 }}
| 113.685
| 113.69
|-
|-
| 46-comma
| 46-comma
| Wa-46
| 46wama
| w-46
| 46wM
|  
|  
| {{monzo| 73 -46 }}
| {{Monzo| 73 -46 }}
| 110.07
| 110.07
|}
|}


===[[5-limit commas]]===
=== 5-limit commas ===
{| class="wikitable"
{| class="wikitable"
|-
|-
! Name(s)
! Name(s)
! colspan="2" |[[Color notation|Color Name]]
! colspan="2" | [[Kite's color notation|Color name]]
! Ratio
! Ratio
! Monzo
! Monzo
Line 106: Line 108:
| LLy1
| LLy1
| 295245 / 262144
| 295245 / 262144
| {{monzo| -18 10 1 }}
| {{Monzo| -18 10 1 }}
| 205.864
| 205.86
|-
|-
| Delorean
| Delorean comma
| Tribigu
| Tribigu
| 6g3
| 6g3
| 17496 / 15625
| 17496 / 15625
| {{monzo| 3 7 -6 }}
| {{Monzo| 3 7 -6 }}
| 195.803
| 195.80
|-
|-
| 31-3/5-comma
| 31-3/5-comma
Line 120: Line 122:
| 31g7
| 31g7
|
|
| {{monzo| 23 31 -31 }}
| {{Monzo| 23 31 -31 }}
| 184.88
| 184.88
|-
|-
| [[10/9|Minor whole tone]], yo 2nd
| [[10/9|Minor whole tone]]
| Yo
| Yo
| y2
| y2
| 10 / 9
| 10 / 9
| {{monzo| 1 -2 1 }}
| {{Monzo| 1 -2 1 }}
| 182.404
| 182.40
|-
|-
| 5-cycle major second, hexadecathird comma
| 5-cycle major second, hexadecathird comma
Line 134: Line 136:
| LL16y-4
| LL16y-4
| 152587890625 / <br>137438953472
| 152587890625 / <br>137438953472
| {{monzo| -37 0 16 }}
| {{Monzo| -37 0 16 }}
| 181.019
| 181.02
|-
|-
| [[Nadir comma]]
| [[Nadir comma]]
Line 141: Line 143:
| LL3g1
| LL3g1
| 1162261467 / 1048576000
| 1162261467 / 1048576000
| {{monzo| -23 19 -3 }}
| {{Monzo| -23 19 -3 }}
| 178.204
| 178.20
|-
|-
<!-- until it gets a name
|  
|  
| Legu
| Legu
| 11g4
| 11g4
| [[53747712 / 48828125]]
| 53747712 / 48828125
| {{monzo| 13 8 -11 }}
| {{Monzo| 13 8 -11 }}
| 166.189
| 166.19
|-
|-  
| Enipucrop
-->
| Enipucrop comma
| Latriyobi
| Latriyobi
| L3y1
| L3y1
| 1125 / 1024
| 1125 / 1024
| {{monzo| -10 2 3 }}
| {{Monzo| -10 2 3 }}
| 162.851
| 162.85
|-
|-
| [[800/729|Supersharp]]
| [[800/729|Supersharp comma]]
| Sayoyo
| Sayoyo
| syy2
| syy2
| 800 / 729
| 800 / 729
| {{monzo| 5 -6 2 }}
| {{Monzo| 5 -6 2 }}
| 160.897
| 160.90
|-
|-
| [[Nether comma]]
| [[Nether comma]]
Line 169: Line 173:
| LLgg1
| LLgg1
| 14348907 / 13107200
| 14348907 / 13107200
| {{monzo| -19 15 -2 }}
| {{Monzo| -19 15 -2 }}
| 156.698
| 156.70
|-
|-
| [[Rarity comma]]
| [[Rarity comma]]
Line 176: Line 180:
| 4L13y-5
| 4L13y-5
|  
|  
| {{monzo| -57 17 13 }}
| {{Monzo| -57 17 13 }}
| 155.313
| 155.31
|-
|-
| Gorgo, laconic
| Laconic comma
| Latrigubi
| Latrigubi
| L3g2
| L3g2
| 2187 / 2000
| 2187 / 2000
| {{monzo| -4 7 -3 }}
| {{Monzo| -4 7 -3 }}
| 154.744
| 154.74
|-
|-
| [[2048/1875|Smate]], symbolic comma
| [[2048/1875|Smate, symbolic comma]]
| Saquadgu
| Saquadgu
| s4g3
| s4g3
| 2048 / 1875
| 2048 / 1875
| {{monzo| 11 -1 -4 }}
| {{Monzo| 11 -1 -4 }}
| 152.790
| 152.79
|-
| [[Submerged comma]]
|
|
| 146484375/134217728
| {{Monzo| -27 1 11 }}
| 151.41
|-
|-
| Acute limma
| Acute limma
Line 197: Line 208:
| 3L19y-5
| 3L19y-5
| 19073486328125 / <br>17592186044416
| 19073486328125 / <br>17592186044416
| {{monzo| -44 0 19 }}
| {{Monzo| -44 0 19 }}
| 139.961
| 139.96
|-
|-
| 31-15-comma
| 31-15-comma
Line 204: Line 215:
| 9L31y-11
| 9L31y-11
|  
|  
| {{monzo| -121 31 31 }}
| {{Monzo| -121 31 31 }}
| 136.33
| 136.33
|-
|-
Line 211: Line 222:
| Lg1
| Lg1
| 177147 / 163840
| 177147 / 163840
| {{monzo| -15 11 -1 }}
| {{Monzo| -15 11 -1 }}
| 135.191
| 135.19
|-
|-
| [[27/25|Large limma]]
| [[27/25|Bug comma]]
| Gugu
| Gugu
| gg2
| gg2
| 27 / 25
| 27 / 25
| {{monzo| 0 3 -2 }}
| {{Monzo| 0 3 -2 }}
| 133.238
| 133.24
|-
|-
| 11-3/5-comma
| 11-3/5-comma
Line 225: Line 236:
| 11y-2
| 11y-2
| 48828125 / 45349632
| 48828125 / 45349632
| {{monzo| -8 -11 11 }}
| {{Monzo| -8 -11 11 }}
| 127.946
| 127.95
|-
|-
| 27-3/5-comma
| 27-3/5-comma
Line 232: Line 243:
| 27g6
| 27g6
|  
|  
| {{monzo| 20 27 -27 }}
| {{Monzo| 20 27 -27 }}
| 122.315
| 122.31
|-
|-
| Lemba
| Lemba comma
| Latribiyo
| Latribiyo
| L6y-2
| L6y-2
| 140625 / 131072
| 140625 / 131072
| {{monzo| -17 2 6 }}
| {{Monzo| -17 2 6 }}
| 121.792
| 121.79
|-
|-
| 87-15-comma
| 87-15-comma
Line 246: Line 257:
|
|
|  
|  
| {{monzo| 340 -87 -87 }}
| {{Monzo| 340 -87 -87 }}
| 120.622
| 120.62
|-
|-
| [[3125/2916|Sixix comma]]
| [[3125/2916|Sixix comma]]
Line 253: Line 264:
| 5y1
| 5y1
| 3125 / 2916
| 3125 / 2916
| {{monzo| -2 -6 5 }}
| {{Monzo| -2 -6 5 }}
| 119.839
| 119.84
|-
|-
| Diesma
| Diesma
Line 260: Line 271:
| L13g3
| L13g3
| 10460353203 / <br>9765625000
| 10460353203 / <br>9765625000
| {{monzo| -3 21 -13 }}
| {{Monzo| -3 21 -13 }}
| 118.977
| 118.98
|-
|-
| Comic comma
| Comic comma
Line 267: Line 278:
| s4y2
| s4y2
| 5120000 / 4782969
| 5120000 / 4782969
| {{monzo| 13 -14 4 }}
| {{Monzo| 13 -14 4 }}
| 117.885
| 117.88
|-
|-
| [[16/15|Just diatonic semitone]]
| [[16/15|Father comma]]
| Gubi
| Gubi
| g2
| g2
| 16 / 15
| 16 / 15
| {{monzo| 4 -1 -1 }}
| {{Monzo| 4 -1 -1 }}
| 111.731
| 111.73
|-
|-
| Beatles
| Beatles comma
| Sasa-gugu
| Sasa-gugu
| ssgg3
| ssgg3
| 524288 / 492075
| 524288 / 492075
| {{monzo| 19 -9 -2 }}
| {{Monzo| 19 -9 -2 }}
| 109.778
| 109.78
|-
|-
| 300-3/5-comma
| 300-3/5-comma
Line 288: Line 299:
|
|
|  
|  
| {{monzo| -221 -300 300 }}
| {{Monzo| -221 -300 300 }}
| 107.614
| 107.61
|-
|-
| Wronecki
| Wronecki comma
| Latribigu
| Latribigu
| L6g2
| L6g2
| 531441 / 500000
| 531441 / 500000
| {{monzo| -5 12 -6 }}
| {{Monzo| -5 12 -6 }}
| 105.578
| 105.58
|-
|[[82944/78125|Migmag comma]]
|Sepgu 3rd
|g^7 3
|82944 / 78125
|[10 4 -7⟩
|103.62
|-
|-
| [[Wesley comma]]
| [[Wesley comma]]
Line 303: Line 321:
| 78125 / 73728
| 78125 / 73728
| {{monzo| -13 -2 7 }}
| {{monzo| -13 -2 7 }}
| 100.286
| 100.29
|}
|}


Line 310: Line 328:
|-
|-
! Name(s)
! Name(s)
! colspan="2" |[[Color notation|Color Name]]
! colspan="2" | [[Kite's color notation|Color name]]
! Ratio
! Ratio
! Monzo
! Monzo
! Cents
! Cents
|-
| [[Antidilemma]]
| Sasa-theruquad
| ss13r-2
| 137438953472 / 96889010407
| {{monzo| 37 0 0 -13 }}
| 605.263
|-
| [[Dilemma]]
| Lala-thezoquad
| LL13z9
| 96889010407 / 68719476736
| {{monzo| -36 0 0 13 }}
| 594.737
|-
| [[8/7|Septimal major second]], supermajor second,
augmented whole-tone, ru 2nd
| Rubi
| r2
| 8 / 7
| {{monzo| 3 0 0 -1 }}
| 231.174
|-
|-
| Hexatone comma, 6-7-comma
| Hexatone comma, 6-7-comma
Line 341: Line 337:
| s6r-2
| s6r-2
| 131072 / 117649
| 131072 / 117649
| {{monzo| 17 0 0 -6 }}
| {{Monzo| 17 0 0 -6 }}
| 187.045
| 187.04
|-
|-
| 45-7/5-comma
| 45-7/5-comma
Line 348: Line 344:
| 45ry-27
| 45ry-27
|
|
| {{monzo| 22 0 45 -45 }}
| {{Monzo| 22 0 45 -45 }}
| 186.951
| 186.95
|-
|-
| 63-35-comma
| 63-35-comma
Line 355: Line 351:
| 18L63zy8
| 18L63zy8
|
|
| {{monzo| -323 0 63 63 }}
| {{Monzo| -323 0 63 63 }}
| 173.796
| 173.80
|-
|-
| 8-21-comma
| 8-21-comma
Line 362: Line 358:
| LL8z4
| LL8z4
| 37822859361 / <br>34359738368
| 37822859361 / <br>34359738368
| {{monzo| -35 8 0 8 }}
| {{Monzo| -35 8 0 8 }}
| 166.247
| 166.25
|-
|-
| 46-7-comma
| 46-7-comma
Line 369: Line 365:
| 7L46z18
| 7L46z18
|
|
| {{monzo| -129 0 0 46 }}
| {{Monzo| -129 0 0 46 }}
| 165.992
| 165.99
|-
|-
| 25-7/5-comma
| 25-7/5-comma
Line 376: Line 372:
| 25zg17
| 25zg17
|
|
| {{monzo| -12 0 -25 25 }}
| {{Monzo| -12 0 -25 25 }}
| 162.805
| 162.80
|-
|-
| 43-21-comma
| 43-21-comma
Line 383: Line 379:
| 12s43r-11
| 12s43r-11
|
|
| {{monzo| 189 -43 0 -43 }}
| {{Monzo| 189 -43 0 -43 }}
| 156.421
| 156.42
|-
|-
| [[35/32|Septimal neutral second]], 35th harmonic
| [[35/32|Septimal neutral second]], octave-reduced 35th harmonic
| Zoyo
| Zoyo
| zy2
| zy2
| 35 / 32
| 35 / 32
| {{monzo| -5 0 1 1 }}
| {{monzo| -5 0 1 1 }}
| 155.140
| 155.14
|-
|-
| 43-7/5-comma
| 43-7/5-comma
Line 397: Line 393:
| 43ry-26
| 43ry-26
|
|
| {{monzo| 21 0 43 -43 }}
| {{Monzo| 21 0 43 -43 }}
| 151.976
| 151.98
|-
|-
| [[49/45|Swetismic neutral second]]
| [[49/45|Swetismic neutral second]]
Line 404: Line 400:
| zzg3
| zzg3
| 49 / 45
| 49 / 45
| {{monzo| 0 -2 -1 2 }}
| {{Monzo| 0 -2 -1 2 }}
| 147.428
| 147.43
|-
|-
<!-- until it gets a name
| [[160/147]]
| [[160/147]]
| Ruruyobi
| Ruruyobi
| rry1
| rry1
| 160 / 147
| 160 / 147
| {{monzo| 5 -1 1 -2 }}
| {{Monzo| 5 -1 1 -2 }}
| 146.707
| 146.71
-->
|-
|-
| Hendecatone comma, 11-7-comma
| Hendecatone comma, 11-7-comma
Line 418: Line 416:
| ss11r-4
| ss11r-4
| 2147483648 / 1977326743
| 2147483648 / 1977326743
| {{monzo| 31 0 0 -11 }}
| {{Monzo| 31 0 0 -11 }}
| 142.915
| 142.92
|-
|-
| [[243/224|Septimal subtone]]
| [[243/224|Septimal subtone]]
Line 425: Line 423:
| Lr1
| Lr1
| 243 / 224
| 243 / 224
| {{monzo| -5 5 0 -1 }}
| {{Monzo| -5 5 0 -1 }}
| 140.949
| 140.95
|-
|-
| 55-35-comma
| 55-35-comma
Line 432: Line 430:
| 16L55zy7
| 16L55zy7
|
|
| {{monzo| -282 0 55 55 }}
| {{Monzo| -282 0 55 55 }}
| 132.679
| 132.68
|-
|-
| 27-7/5-comma
| 27-7/5-comma
Line 439: Line 437:
| 27zg18
| 27zg18
|
|
| {{monzo| -13 0 -27 27 }}
| {{Monzo| -13 0 -27 27 }}
| 127.829
| 127.83
|-
|-
| 41-7-comma
| 41-7-comma
Line 446: Line 444:
| 6L41z16
| 6L41z16
|
|
| {{monzo| -115 0 0 41 }}
| {{Monzo| -115 0 0 41 }}
| 121.862
| 121.86
|-
|-
| 13-21-comma
| 13-21-comma
Line 453: Line 451:
| 4L13z5
| 4L13z5
|
|
| {{monzo| -57 13 0 13 }}
| {{Monzo| -57 13 0 13 }}
| 120.152
| 120.15
|-
|-
| [[15/14|Major diatonic semitone]]
| [[15/14|Septimal major semitone]]
| Ruyo
| Ruyo
| ry1
| ry1
| 15 / 14
| 15 / 14
| {{monzo| -1 1 1 -1 }}
| {{Monzo| -1 1 1 -1 }}
| 119.443
| 119.44
|-
|-
| [[Primate comma]]
| [[Primate comma]]
Line 467: Line 465:
| sr2
| sr2
| 16384 / 15309
| 16384 / 15309
| {{monzo| 14 -7 0 -1 }}
| {{Monzo| 14 -7 0 -1 }}
| 117.489
| 117.49
|-
|-
| 41-7/5-comma
| 41-7/5-comma
Line 474: Line 472:
| 41ry-25
| 41ry-25
|
|
| {{monzo| 20 0 41 -41 }}
| {{Monzo| 20 0 41 -41 }}
| 117
| 117.00
|-
|-
| 7-35-comma
| 7-35-comma
Line 481: Line 479:
| ss7rg1
| ss7rg1
| 68719476736 / <br>64339296875
| 68719476736 / <br>64339296875
| {{monzo| 36 0 -7 -7 }}
| {{Monzo| 36 0 -7 -7 }}
| 114.023
| 114.02
|-
|-
| 38-21-comma
| 38-21-comma
Line 488: Line 486:
| 11s38r-10
| 11s38r-10
|
|
| {{monzo| 167 -38 0 -38 }}
| {{Monzo| 167 -38 0 -38 }}
| 110.326
| 110.33
|-
|-
| [[729/686|Triru comma]]
| 3-9/7-comma
| Triru
| Triru
| 3r-2
| 3r-2
| 729 / 686
| 729 / 686
| {{monzo| -1 6 0 -3 }}
| {{Monzo| -1 6 0 -3 }}
| 105.252
| 105.25
|}
|}


Line 503: Line 501:
|-
|-
! Name(s)
! Name(s)
! colspan="2" |[[Color notation|Color Name]]
! colspan="2" | [[Kite's color notation|Color name]]
! Ratio
! Ratio
! Monzo
! Monzo
Line 512: Line 510:
| 5L33(1o)-7
| 5L33(1o)-7
|
|
| {{monzo| -114 0 0 0 33 }}
| {{Monzo| -114 0 0 0 33 }}
| 193.492
| 193.49
|-
|-
| 4/5-tone, Ptolemy's second
| 4/5-tone, Ptolemy's second
Line 519: Line 517:
| 1og2
| 1og2
| [[11/10|11 / 10]]
| [[11/10|11 / 10]]
| {{monzo| -1 0 -1 0 1 }}
| {{Monzo| -1 0 -1 0 1 }}
| 165.004
| 165.00
|-
|-
| 11-enipucrop, 9-11-comma
| 11-enipucrop, 9-11-comma
Line 526: Line 524:
| L9(1o)-2
| L9(1o)-2
| 2357947691 / 2147483648
| 2357947691 / 2147483648
| {{monzo| -31 0 0 0 9 }}
| {{Monzo| -31 0 0 0 9 }}
| 161.862
| 161.86
|-
|-
| 3/4-tone, undecimal neutral second
| 3/4-tone, undecimal neutral second
Line 533: Line 531:
| 1u2
| 1u2
| [[12/11|12 / 11]]
| [[12/11|12 / 11]]
| {{monzo| 2 1 0 0 -1 }}
| {{Monzo| 2 1 0 0 -1 }}
| 150.637
| 150.64
|-
|-
| [[Secor|Undecimal secor]]
| [[77/72|Undecimal secor]]
| Lozo
| Lozo
| 1oz2
| 1oz2
| [[77/72|77 / 72]]
| [[77/72|77 / 72]]
| {{monzo| -3 -2 0 1 1 }}
| {{Monzo| -3 -2 0 1 1 }}
| 116.234
| 116.23
|}
|}


Line 548: Line 546:
|-
|-
! Name(s)
! Name(s)
! colspan="2" |[[Color notation|Color Name]]
! colspan="2" | [[Kite's color notation|Color name]]
! Ratio
! Ratio
! Monzo
! Monzo
Line 557: Line 555:
| 8L53(3o)7
| 8L53(3o)7
|
|
| {{monzo| -196 0 0 0 0 53 }}
| {{Monzo| -196 0 0 0 0 53 }}
| 147.966
| 147.97
|-
|-
| Large tridecimal 2/3-tone, tridecimal neutral second
| Large tridecimal 2/3-tone, tridecimal neutral second
Line 564: Line 562:
| 3o2
| 3o2
| [[13/12|13 / 12]]
| [[13/12|13 / 12]]
| {{monzo| -2 -1 0 0 0 1 }}
| {{Monzo| -2 -1 0 0 0 1 }}
| 138.573
| 138.57
|-
|-
| Small tridecimal 2/3-tone, tridecimal limma, trienthird
| Small tridecimal 2/3-tone, tridecimal limma, trienthird
Line 571: Line 569:
| 3uz2
| 3uz2
| [[14/13|14 / 13]]
| [[14/13|14 / 13]]
| {{monzo| 1 0 0 1 0 -1 }}
| {{Monzo| 1 0 0 1 0 -1 }}
| 128.298
| 128.30
|-
|-
| Heptasixth comma, 13-cycle secor
| Heptasixth comma, 13-cycle secor
Line 579: Line 577:
| 67108864 / 62748517
| 67108864 / 62748517
| {{monzo| 26 0 0 0 0 -7 }}
| {{monzo| 26 0 0 0 0 -7 }}
| 116.306
| 116.31
|-
|-
| Heptadecasixth comma, neutral thirteenth comma
| Heptadecasixth comma, neutral thirteenth comma
Line 585: Line 583:
| ss17(3u)-2
| ss17(3u)-2
|
|
| {{monzo| 63 0 0 0 0 -17 }}
| {{Monzo| 63 0 0 0 0 -17 }}
| 111.030
| 111.03
|}
|}


Line 593: Line 591:
|-
|-
! Name(s)
! Name(s)
! colspan="2" |[[Color notation|Color Name]]
! colspan="2" | [[Kite's color notation|Color name]]
! Ratio
! Ratio
! Monzo
! Monzo
Line 602: Line 600:
| 17og3
| 17og3
| [[17/15|17 / 15]]
| [[17/15|17 / 15]]
| {{monzo| 0 -1 -1 0 0 0 1 }}
| {{Monzo| 0 -1 -1 0 0 0 1 }}
| 216.687
| 216.69
|-
|-
| 17th harmonic
| Large septendecimal semitone, octave-reduced 17th harmonic
| Iso
| Iso
| 17o2
| 17o2
| [[17/16|17 / 16]]
| [[17/16|17 / 16]]
| {{monzo| -4 0 0 0 0 0 1 }}
| {{Monzo| -4 0 0 0 0 0 1 }}
| 104.955
| 104.96
|}
|}


Line 617: Line 615:
|-
|-
! Name(s)
! Name(s)
! colspan="2" |[[Color notation|Color Name]]
! colspan="2" | [[Kite's color notation|Color name]]
! Ratio
! Ratio
! Monzo
! Monzo
Line 626: Line 624:
| 6L41(19o)13
| 6L41(19o)13
|
|
| {{monzo| -174 0 0 0 0 0 0 41 }}
| {{Monzo| -174 0 0 0 0 0 0 41 }}
| 198.034
| 198.03
|-
|-
| Undevicesimal rational meantone
| Undevicesimal rational meantone
Line 633: Line 631:
| 19o17u2
| 19o17u2
| [[19/17|19 / 17]]
| [[19/17|19 / 17]]
| {{monzo| 0 0 0 0 0 0 -1 1 }}
| {{Monzo| 0 0 0 0 0 0 -1 1 }}
| 192.558
| 192.56
|-
|-
| 19-cycle meantone secunda
| 19-cycle meantone secunda
Line 640: Line 638:
| 6L45(19o)14
| 6L45(19o)14
|
|
| {{monzo| -191 0 0 0 0 0 0 45 }}
| {{Monzo| -191 0 0 0 0 0 0 45 }}
| 188.086
| 188.09
|-
|-
| 19-cycle minor tone
| 19-cycle minor tone
Line 647: Line 645:
| 7L49(19o)15
| 7L49(19o)15
|
|
| {{monzo| -208 0 0 0 0 0 0 49 }}
| {{Monzo| -208 0 0 0 0 0 0 49 }}
| 178.138
| 178.14
|-
|-
| Undevicesimal rational submajor second
| Undevicesimal rational submajor second
Line 654: Line 652:
| 19uz2
| 19uz2
| [[21/19|21 / 19]]
| [[21/19|21 / 19]]
| {{monzo| 0 1 0 1 0 0 0 -1 }}
| {{Monzo| 0 1 0 1 0 0 0 -1 }}
| 173.268
| 173.27
|-
|-
| 19-cycle submajor second
| 19-cycle submajor second
Line 661: Line 659:
| 8L53(19o)16
| 8L53(19o)16
|
|
| {{monzo| -225 0 0 0 0 0 0 53 }}
| {{Monzo| -225 0 0 0 0 0 0 53 }}
| 168.190
| 168.19
|-
|-
| [[81/76|Dog comma]]
| [[81/76|Dog comma]]
Line 668: Line 666:
| 19u1
| 19u1
| 81 / 76
| 81 / 76
| {{monzo| -2 4 0 0 0 0 0 -1 }}
| {{Monzo| -2 4 0 0 0 0 0 -1 }}
| 110.307
| 110.31
|}
|}


Line 676: Line 674:
|-
|-
! Name(s)
! Name(s)
! colspan="2" |[[Color notation|Color Name]]
! colspan="2" | [[Kite's color notation|Color name]]
! Ratio
! Ratio
! Monzo
! Monzo
Line 685: Line 683:
| 23or2
| 23or2
| [[23/21|23 / 21]]
| [[23/21|23 / 21]]
| 3.7.23 {{monzo| -1 -1 1 }}
| {{Monzo| 0 -1 0 -1 0 0 0 0 1 }}
| 157.493
| 157.49
|-
|-
| Small vicesimotertial neutral second
| Small vicesimotertial neutral second
Line 692: Line 690:
| 23uyy1
| 23uyy1
| [[25/23|25 / 23]]
| [[25/23|25 / 23]]
| 5.23 {{monzo| 2 -1 }}
| {{Monzo| 0 0 2 0 0 0 0 0 -1 }}
| 144.353
| 144.35
|-
|-
| 69th harmonic
| Octave-reduced 69th harmonic
| Twetho
| Twetho
| 23o2
| 23o2
| [[69/64|69 / 64]]
| [[69/64|69 / 64]]
| 2.3.23 {{monzo| -6 1 1 }}
| {{monzo| -6 1 0 0 0 0 0 0 1 }}
| 130.229
| 130.23
|}
|}


Line 707: Line 705:
|-
|-
! Name(s)
! Name(s)
! colspan="2" |[[Color notation|Color Name]]
! colspan="2" | [[Kite's color notation|Color name]]
! Ratio
! Ratio
! Monzo
! Monzo
! Cents
! Cents
|-
|-
| 29th subharmonic
| Octave-reduced 29th subharmonic
| Twenu
| Twenu
| 29u2
| 29u2
| [[32/29|32 / 29]]
| [[32/29|32 / 29]]
| 2.29 {{monzo| 5 -1 }}
| 2.29 {{monzo| 5 -1 }}
| 170.423
| 170.42
|-
|-
<!-- until it gets a name
| [[47/44]]
| [[47/44]]
| Fosolu
| Fosolu
Line 724: Line 723:
| 47 / 44
| 47 / 44
| 2.11.47 {{monzo| -2 -1 1 }}
| 2.11.47 {{monzo| -2 -1 1 }}
| 114.189
| 114.19
-->
|}
|}