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72edo: Difference between revisions

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=== Commas ===
=== Commas ===
Commas tempered out by 72edo include…
Commas tempered out by 72edo include…
All 13-limit commas with denominators ≤ 2^15, plus a few additional ones, tempered out by the 72edo patent val:


{| class="commatable wikitable center-1 center-2 right-4"
{| class="commatable wikitable center-1 center-2 right-4"
Line 1,160: Line 1,158:
| 7.32
| 7.32
| Cataharry comma
| Cataharry comma
|-
|7
|[[33075/32768]]
|[-15 3 2 2⟩
|16.14
|Mirwomo comma
|-
|-
| 7
| 7
Line 1,208: Line 1,200:
| 3.78
| 3.78
| Moctdel comma
| Moctdel comma
|-
|11
|[[2835/2816]]
|[-8 4 1 1 -1⟩
|11.64
|Fwiwisma
|-
|-
| 11
| 11
Line 1,226: Line 1,212:
| 3.03
| 3.03
| Wizardharry comma
| Wizardharry comma
|-
|11
|[[4125/4096]]
|[-12 1 3 0 1⟩
|12.21
|
|-
|11
|[[4375/4356]]
|[-2 -2 4 1 -2⟩
|7.53
|
|-
|-
| 11
| 11
Line 1,244: Line 1,218:
| 3.60
| 3.60
| Liganellus comma
| Liganellus comma
|-
|11
|[[8019/8000]]
|[-6 6 -3 0 1⟩
|4.11
|Trimitone comma
|-
|11
|[[9375/9317]]
|[0 1 5 -1 -3⟩
|10.74
|
|-
|-
| 11
| 11
Line 1,262: Line 1,224:
| 0.18
| 0.18
| Kalisma
| Kalisma
|-
|11
|[[12005/11979]]
|[0 -2 1 4 -3⟩
|3.75
|Unisquarisma
|-
|11
|[[14700/14641]]
|[2 1 2 2 -4⟩
|6.96
|
|-
|11
|[[15625/15488]]
|[-7 0 6 0 -2⟩
|15.25
|
|-
|11
|[[24057/24010]]
|[-1 7 -1 -4 1⟩
|3.39
|
|-
|11
|[[30375/30184]]
|[-3 5 3 -3 -1⟩
|10.92
|
|-
|-
| 11
| 11
Line 1,340: Line 1,272:
| 2.38
| 2.38
| Squbema
| Squbema
|-
|13
|[[975/968]]
|[-3 1 2 0 -2 1⟩
|12.47
|
|-
|-
| 13
| 13
Line 1,352: Line 1,278:
| 1.73
| 1.73
| Sinbadma
| Sinbadma
|-
|13
|[[1287/1280]]
|[-8 2 -1 0 1 1⟩
|9.44
|Catadictma
|-
|13
|[[1573/1568]]
|[-5 0 0 -2 2 1⟩
|5.51
|Lambeth comma
|-
|-
| 13
| 13
Line 1,370: Line 1,284:
| 2.20
| 2.20
| Nicola
| Nicola
|-
|13
|[[1625/1617]]
|[0 -1 3 -2 -1 1⟩
|8.54
|Sopreisma
|-
|-
| 13
| 13
Line 1,388: Line 1,296:
| 0.83
| 0.83
| Ibnsinma
| Ibnsinma
|-
|13
|[[2197/2178]]
|[-1 -2 0 0 -2 3⟩
|15.04
|
|-
|-
| 13
| 13
| [[2197/2187]]
| [[6656/6655]]
| [0 -7 0 0 0 3⟩
| {{Monzo| 9 0 -1 0 -3 1 }}
| 7.90
| 0.26012
|Threedie
| Jacobin comma
|-
|13
|[[2704/2695]]
|[4 0 -1 -2 -1 2⟩
|5.77
|
|-
|13
|[[3042/3025]]
|[1 2 -2 0 -2 2⟩
|9.70
|Diagassormisma
|-
|13
|[[3159/3136]]
|[-6 5 0 -2 0 1⟩
|12.65
|
|-
|13
|[[3185/3168]]
|[-5 -2 1 2 -1 1⟩
|9.27
|
|-
|13
|[[3549/3520]]
|[-6 1 -1 1 -1 2⟩
|14.20
|
|-
|13
|[[4394/4375]]
|[1 0 -4 -1 0 3⟩
|7.50
|Hebrewsma
|-
|13
|[[4459/4455]]
|[0 -4 -1 3 -1 1⟩
|1.55
|Tristanisma
|-
|13
|[[6656/6655]]
|[9 0 -1 0 -3 1⟩
|0.26
|Jacobin comma
|-
|13
|[[7605/7546]]
|[-1 2 1 -3 -1 2⟩
|13.48
|
|-
|13
|[[8125/8064]]
|[-7 -2 4 -1 0 1⟩
|13.05
|
|-
|13
|[[8281/8192]]
|[-13 0 0 2 0 2⟩
|18.71
|Diahuntmisma
|-
|13
|[[8281/8250]]
|[-1 -1 -3 2 -1 2⟩
|6.49
|
|-
|13
|[[9295/9216]]
|[-10 -2 1 0 1 2⟩
|14.78
|
|-
|13
|[[9295/9261]]
|[0 -3 1 -3 1 2⟩
|6.34
|
|-
|13
|[[9360/9317]]
|[4 2 1 -1 -3 1⟩
|7.97
|
|-
|13
|[[11375/11264]]
|[-10 0 3 1 -1 1⟩
|16.98
|
|-
|13
|[[12675/12544]]
|[-8 1 2 -2 0 2⟩
|17.99
|
|-
|13
|[[13013/12960]]
|[-5 -4 -1 1 1 2⟩
|7.07
|
|-
|13
|[[13365/13312]]
|[-10 5 1 0 1 -1⟩
|6.88
|
|-
|13
|[[13377/13310]]
|[-1 1 -1 3 -3 1⟩
|8.69
|
|-
|13
|[[13689/13552]]
|[-4 4 0 -1 -2 2⟩
|17.41
|
|-
|13
|[[14742/14641]]
|[1 4 0 1 -4 1⟩
|11.90
|
|-
|13
|[[16848/16807]]
|[4 4 0 -5 0 1⟩
|4.22
|
|-
|13
|[[16900/16807]]
|[2 0 2 -5 0 2⟩
|9.55
|
|-
|13
|[[17303/17280]]
|[-7 -3 -1 0 3 1⟩
|2.30
|Tridecimal eighth-octave comma
|-
|13
|[[18375/18304]]
|[-7 1 3 2 -1 -1⟩
|6.70
|
|-
|13
|[[18954/18865]]
|[1 6 -1 -3 -1 1⟩
|8.15
|
|-
|13
|[[19305/19208]]
|[-3 3 1 -4 1 1⟩
|8.72
|
|-
|13
|[[19773/19600]]
|[-4 2 -2 -2 0 3⟩
|15.21
|
|-
|13
|[[20449/20412]]
|[-2 -6 0 -1 2 2⟩
|3.13
|
|-
|13
|[[21632/21609]]
|[7 -2 0 -4 0 2⟩
|1.84
|
|-
|13
|[[22113/22000]]
|[-4 5 -3 1 -1 1⟩
|8.87
|
|-
|13
|[[22815/22528]]
|[-11 3 1 0 -1 2⟩
|21.92
|
|-
|13
|[[24167/24000]]
|[-6 -1 -3 0 1 3⟩
|12.01
|
|-
|13
|[[24167/24010]]
|[-1 0 -1 -4 1 3⟩
|11.28
|
|-
|13
|[[28125/28028]]
|[-2 2 5 -2 -1 -1⟩
|5.98
|
|-
|13
|[[28431/28160]]
|[-9 7 -1 0 -1 1⟩
|16.58
|
|-
|13
|[[28561/28160]]
|[-9 0 -1 0 -1 4⟩
|24.48
|
|-
|13
|[[28561/28224]]
|[-6 -2 0 -2 0 4⟩
|20.55
|
|-
|13
|[[28561/28350]]
|[-1 -4 -2 -1 0 4⟩
|12.84
|
|-
|13
|[[29575/29282]]
|[-1 0 2 1 -4 2⟩
|17.24
|
|-
|13
|[[29575/29403]]
|[0 -5 2 1 -2 2⟩
|10.10
|
|-
|13
|[[31213/30976]]
|[-8 0 0 4 -2 1⟩
|13.20
|
|-
|13
|[[31213/31104]]
|[-7 -5 0 4 0 1⟩
|6.06
|Praveensma
|-
|13
|[[31250/31213]]
|[1 0 6 -4 0 -1⟩
|2.05
|
|-
|13
|[[33033/32768]]
|[-15 1 0 1 2 1⟩
|13.94
|
|}
|}
<references group="note" />
<references group="note" />
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