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Rename color commas with new patch and Alternate easy comma names for select wa commas in color notation
 
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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 by many, 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
| L<sup>4</sup>w-2
| 26wM
| 2541865828329 / 2199023255552
| 2541865828329 / 2199023255552
| {{monzo| -41 26 }}
| {{Monzo| -41 26 }}
| 250.83
| 250.83
|-
|-
| 27-comma
| 27-comma
| Wa-27
| 27wama
| s<sup>4</sup>w5
| 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
| L<sup>6</sup>w-4
| 43wM
|  
|  
| {{monzo| -68 43 }}
| {{Monzo| -68 43 }}
| 184.065
| 184.07
|-
|-
| 63-comma
| 63-comma
| Wa-63
| 63wama
| s<sup>9</sup>w8
| 63wM
|  
|  
| {{monzo| 100 -63 }}
| {{Monzo| 100 -63 }}
| 176.835
| 176.83
|-
|-
| [[31st-octave temperaments|31-comma]]
| [[31-comma]]
| Wa-31
| 31wama, Thiwewama
| L<sup>4</sup>w-3
| 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
| s<sup>3</sup>w4
| 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
| L<sup>3</sup>w-2
| 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
| s<sup>7</sup>w6
| 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
| g<sup>6</sup>3
| 6g3
| 17496 / 15625
| 17496 / 15625
| {{monzo| 3 7 -6 }}
| {{Monzo| 3 7 -6 }}
| 195.803
| 195.80
|-
| <strike>meantone Integer cents comma</strike>{{clarify}}
|
|
|
| {{monzo| -1393 0 600 }}
| 188.228
|-
|-
| 31-3/5-comma
| 31-3/5-comma
| Thiwegu
| Thiwegu
| g<sup>31</sup>7
| 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
| Lala-quadquadyo
| Lala-quadquadyo
| LLy<sup>16</sup>-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]]
| Lalatrigu
| Lalatrigu
| LLg<sup>3</sup>1
| LL3g1
| 1162261467 / 1048576000
| 1162261467 / 1048576000
| {{monzo| -23 19 -3 }}
| {{Monzo| -23 19 -3 }}
| 178.204
| 178.20
|-
|-
<!-- until it gets a name
|  
|  
| Legu
| Legu
| g<sup>11</sup>4
| 11g4
| [[53747712 / 48828125]]
| 53747712 / 48828125
| {{monzo| 13 8 -11 }}
| {{Monzo| 13 8 -11 }}
| 166.189
| 166.19
|-
|-  
| Enipucrop
-->
| Enipucrop comma
| Latriyobi
| Latriyobi
| Ly<sup>3</sup>1
| 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 171: Line 173:
| LLgg1
| LLgg1
| 14348907 / 13107200
| 14348907 / 13107200
| {{monzo| -19 15 -2 }}
| {{Monzo| -19 15 -2 }}
| 156.698
| 156.70
|-
|-
| [[Rarity comma]]
| [[Rarity comma]]
| Quadla-theyo
| Quadla-theyo
| L<sup>4</sup>y<sup>13</sup>-5
| 4L13y-5
|  
|  
| {{monzo| -57 17 13 }}
| {{Monzo| -57 17 13 }}
| 155.313
| 155.31
|-
|-
| Gorgo, laconic
| Laconic comma
| Latrigubi
| Latrigubi
| Lg<sup>3</sup>2
| 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
| sg<sup>4</sup>3
| 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
| Trila-neyobi
| Trila-neyobi
| L<sup>3</sup>y<sup>19</sup>-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
| Tritrila-thiweyo
| Tritrila-thiweyo
| L<sup>9</sup>y<sup>31</sup>-11
| 9L31y-11
|  
|  
| {{monzo| -121 31 31 }}
| {{Monzo| -121 31 31 }}
| 136.33
| 136.33
|-
|-
Line 213: 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
| Leyo
| Leyo
| y<sup>11</sup>-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
| Tritritrigu
| Tritritrigu
| g<sup>27</sup>6
| 27g6
|  
|  
| {{monzo| 20 27 -27 }}
| {{Monzo| 20 27 -27 }}
| 122.315
| 122.31
|-
|-
| Lemba
| Lemba comma
| Latribiyo
| Latribiyo
| Ly<sup>6</sup>-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 248: Line 257:
|
|
|  
|  
| {{monzo| 340 -87 -87 }}
| {{Monzo| 340 -87 -87 }}
| 120.622
| 120.62
|-
|-
| [[3125/2916|Sixix comma]]
| [[3125/2916|Sixix comma]]
| Quinyo
| Quinyo
| y<sup>5</sup>1
| 5y1
| 3125 / 2916
| 3125 / 2916
| {{monzo| -2 -6 5 }}
| {{Monzo| -2 -6 5 }}
| 119.839
| 119.84
|-
|-
| Diesma
| Diesma
| Lathegu
| Lathegu
| Lg<sup>13</sup>3
| L13g3
| 10460353203 / <br>9765625000
| 10460353203 / <br>9765625000
| {{monzo| -3 21 -13 }}
| {{Monzo| -3 21 -13 }}
| 118.977
| 118.98
|-
|-
| Comic comma
| Comic comma
| Saquadyobi
| Saquadyobi
| sy<sup>4</sup>2
| 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 290: Line 299:
|
|
|  
|  
| {{monzo| -221 -300 300 }}
| {{Monzo| -221 -300 300 }}
| 107.614
| 107.61
|-
|-
| Wronecki
| Wronecki comma
| Latribigu
| Latribigu
| Lg<sup>6</sup>2
| L6g2
| 531441 / 500000
| 531441 / 500000
| {{monzo| -5 12 -6 }}
| {{Monzo| -5 12 -6 }}
| 105.578
| 105.58
|-
|-
| [[Wesley comma]]
| [[Wesley comma]]
| Lasepyobi
| Lasepyobi
| Ly<sup>7</sup>-2
| L7y-2
| 78125 / 73728
| 78125 / 73728
| {{monzo| -13 -2 7 }}
| {{monzo| -13 -2 7 }}
| 100.286
| 100.29
|}
|}


Line 312: Line 321:
|-
|-
! 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
| ssr<sup>13</sup>-2
| 137438953472 / 96889010407
| {{monzo| 37 0 0 -13 }}
| 605.263
|-
| [[Dilemma]]
| Lala-thezoquad
| LLz<sup>13</sup>9
| 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
| Satribiru
| Satribiru
| sr<sup>6</sup>-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
| Quintritriruyo
| Quintritriruyo
| r<sup>45</sup>y<sup>45</sup>-27
| 45ry-27
|
|
| {{monzo| 22 0 45 -45 }}
| {{Monzo| 22 0 45 -45 }}
| 186.951
| 186.95
|-
|-
| 63-35-comma
| 63-35-comma
| Tritribila-septritrizoyo
| Tritribila-septritrizoyo
| L<sup>18</sup>z<sup>63</sup>y<sup>63</sup>8
| 18L63zy8
|
|
| {{monzo| -323 0 63 63 }}
| {{Monzo| -323 0 63 63 }}
| 173.796
| 173.80
|-
|-
| 8-21-comma
| 8-21-comma
| Lala-quadbizo
| Lala-quadbizo
| LLz<sup>8</sup>4
| 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
| Sepla-twethebizobi
| Sepla-twethebizobi
| L<sup>7</sup>z<sup>46</sup>18
| 7L46z18
|
|
| {{monzo| -129 0 0 46 }}
| {{Monzo| -129 0 0 46 }}
| 165.992
| 165.99
|-
|-
| 25-7/5-comma
| 25-7/5-comma
| Quinquinzogu
| Quinquinzogu
| z<sup>25</sup>g<sup>25</sup>17
| 25zg17
|
|
| {{monzo| -12 0 -25 25 }}
| {{Monzo| -12 0 -25 25 }}
| 162.805
| 162.80
|-
|-
| 43-21-comma
| 43-21-comma
| Quadtrisa-fotherubi
| Quadtrisa-fotherubi
| s<sup>12</sup>r<sup>43</sup>-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
| Fotheruyo
| Fotheruyo
| r<sup>43</sup>y<sup>43</sup>-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 406: Line 393:
| 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
| Sasa-leru
| Sasa-leru
| ssr<sup>11</sup>-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 427: Line 416:
| 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
| Quadquadla-lequinzoyobi
| Quadquadla-lequinzoyobi
| L<sup>16</sup>z<sup>55</sup>y<sup>55</sup>7
| 16L55zy7
|
|
| {{monzo| -282 0 55 55 }}
| {{Monzo| -282 0 55 55 }}
| 132.679
| 132.68
|-
|-
| 27-7/5-comma
| 27-7/5-comma
| Tritritrizogu
| Tritritrizogu
| z<sup>27</sup>g<sup>27</sup>18
| 27zg18
|
|
| {{monzo| -13 0 -27 27 }}
| {{Monzo| -13 0 -27 27 }}
| 127.829
| 127.83
|-
|-
| 41-7-comma
| 41-7-comma
| Tribila-fowezo
| Tribila-fowezo
| L<sup>6</sup>z<sup>41</sup>16
| 6L41z16
|
|
| {{monzo| -115 0 0 41 }}
| {{Monzo| -115 0 0 41 }}
| 121.862
| 121.86
|-
|-
| 13-21-comma
| 13-21-comma
| Quadla-thezobi
| Quadla-thezobi
| L<sup>4</sup>z<sup>13</sup>5
| 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 469: Line 458:
| 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
| Foweruyo
| Foweruyo
| r<sup>41</sup>y<sup>41</sup>-25
| 41ry-25
|
|
| {{monzo| 20 0 41 -41 }}
| {{Monzo| 20 0 41 -41 }}
| 117
| 117.00
|-
|-
| 7-35-comma
| 7-35-comma
| Sasa-seprugu
| Sasa-seprugu
| ssr<sup>7</sup>g<sup>7</sup>1
| 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
| Lesa-nebiru
| Lesa-nebiru
| s<sup>11</sup>r<sup>38</sup>-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
| r<sup>3</sup>-2
| 3r-2
| 729 / 686
| 729 / 686
| {{monzo| -1 6 0 -3 }}
| {{Monzo| -1 6 0 -3 }}
| 105.252
| 105.25
|}
|}


Line 505: Line 494:
|-
|-
! 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 501:
| 11-cycle major second prote, 33-11-comma
| 11-cycle major second prote, 33-11-comma
| Quinla-letrilobi
| Quinla-letrilobi
| L<sup>5</sup>1o<sup>33</sup>-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 521: Line 510:
| 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
| Latritrilo
| Latritrilo
| L1o<sup>9</sup>-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 535: Line 524:
| 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 550: Line 539:
|-
|-
! 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 546:
| 13-cycle neutral second
| 13-cycle neutral second
| Quadbila-fithethobi
| Quadbila-fithethobi
| L<sup>8</sup>3o<sup>53</sup>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 566: Line 555:
| 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 573: Line 562:
| 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
| Sasepthu
| Sasepthu
| s3u<sup>7</sup>1
| s7(3u)1
| 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
| Sasa-sethubi
| Sasa-sethubi
| ss3u<sup>7</sup>-2
| ss17(3u)-2
|
|
| {{monzo| 63 0 0 0 0 -17 }}
| {{Monzo| 63 0 0 0 0 -17 }}
| 111.030
| 111.03
|}
|}


Line 595: Line 584:
|-
|-
! Name(s)
! Name(s)
! colspan="2" |[[Color notation|Color Name]]
! colspan="2" | [[Kite's color notation|Color name]]
! Ratio
! Ratio
! Monzo
! Monzo
Line 604: Line 593:
| 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 619: Line 608:
|-
|-
! 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 615:
| 19-cycle meantone prima
| 19-cycle meantone prima
| Tribila-foweno
| Tribila-foweno
| L<sup>6</sup>19o<sup>41</sup>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 635: Line 624:
| 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
| Tribila-quintritrino
| Tribila-quintritrino
| L<sup>6</sup>19o<sup>45</sup>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
| Sepla-sepsepno
| Sepla-sepsepno
| L<sup>7</sup>19o<sup>49</sup>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 656: Line 645:
| 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
| Quadbila-fithenobi
| Quadbila-fithenobi
| L<sup>8</sup>19o<sup>53</sup>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 670: Line 659:
| 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 678: Line 667:
|-
|-
! Name(s)
! Name(s)
! colspan="2" |[[Color notation|Color Name]]
! colspan="2" | [[Kite's color notation|Color name]]
! Ratio
! Ratio
! Monzo
! Monzo
Line 687: Line 676:
| 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 694: Line 683:
| 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 709: Line 698:
|-
|-
! 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
|  
| 47o1u2
| 47 / 44
| 47 / 44
| 2.11.47 {{monzo| -2 -1 1 }}
| 2.11.47 {{monzo| -2 -1 1 }}
| 114.189
| 114.19
-->
|}
|}


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