Large comma: Difference between revisions

TallKite (talk | contribs)
updated the short form of color names
Contribution (talk | contribs)
No edit summary
 
(10 intermediate revisions by 5 users not shown)
Line 3: Line 3:
For commas under 100 cents, see [[Medium comma]] for commas in between 30 and 100 cents or [[Small comma]] for commas under 30 cents. For commas under 3.5 cents, see [[Unnoticeable comma]].
For commas under 100 cents, see [[Medium comma]] for commas in between 30 and 100 cents or [[Small comma]] for commas under 30 cents. 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.  
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]].


The commas might be numerous, but there is no need to memorise all the names. For pretty much all use cases, it is perfectly acceptable – preferred, even – to just refer to a comma by the monzo or ratio, whichever is simpler.  
The commas might be numerous, but there is no need to memorise all the names. For pretty much all use cases, it is perfectly acceptable – preferred, even – to just refer to a comma by the monzo or ratio, whichever is simpler.  
== Disputed status ==
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 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 18: 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 101: 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 115: 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 129: 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 136: 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 164: 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 171: 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 192: 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 199: Line 215:
| 9L31y-11
| 9L31y-11
|  
|  
| {{monzo| -121 31 31 }}
| {{Monzo| -121 31 31 }}
| 136.33
| 136.33
|-
|-
Line 206: 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 220: 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 227: 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 241: Line 257:
|
|
|  
|  
| {{monzo| 340 -87 -87 }}
| {{Monzo| 340 -87 -87 }}
| 120.622
| 120.62
|-
|-
| [[3125/2916|Sixix comma]]
| [[3125/2916|Sixix comma]]
Line 248: Line 264:
| 5y1
| 5y1
| 3125 / 2916
| 3125 / 2916
| {{monzo| -2 -6 5 }}
| {{Monzo| -2 -6 5 }}
| 119.839
| 119.84
|-
|-
| Diesma
| Diesma
Line 255: 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 262: 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 283: 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 298: Line 321:
| 78125 / 73728
| 78125 / 73728
| {{monzo| -13 -2 7 }}
| {{monzo| -13 -2 7 }}
| 100.286
| 100.29
|}
|}


Line 305: 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 336: 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 343: 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 350: 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 357: 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 364: 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 371: 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 378: 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 392: 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 399: 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 413: 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 420: 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 427: 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 434: 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 441: 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 448: 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 462: 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 469: 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 476: 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 483: 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 498: 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 507: 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 514: 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 521: 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 528: 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 543: 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 552: 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 559: 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 566: 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 574: 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 580: 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 588: 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 597: 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 612: 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 621: 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 628: 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 635: 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 642: 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 649: 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 656: 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 663: 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 671: 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 680: 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 687: 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 702: 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 719: Line 723:
| 47 / 44
| 47 / 44
| 2.11.47 {{monzo| -2 -1 1 }}
| 2.11.47 {{monzo| -2 -1 1 }}
| 114.189
| 114.19
-->
|}
|}