User:Overthink/The 7-limit in 171edo: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Newer edit →
VisualWikitext
Overthink (talk | contribs)
autopatrolled
2,790 edits
create page
 
Overthink (talk | contribs)
autopatrolled
2,790 edits
m substitute again (idk the right way)
Line 1: Line 1:
An excellent system for approximating the 7-limit is [[171edo]]. The [[9-odd-limit]] [[tonality diamond]] is approximated with just over 0.4 cents of error, and all 7-limit intervals with odd limit up to 10,000,000 are consistent (first odd to cause inconsistencies is 13671875). 171edo is thus an excellent system for classifying intervals and commas simply and accurately.
An excellent system for approximating the 7-limit is [[171edo]]. The [[9-odd-limit]] [[tonality diamond]] is approximated with just over 0.4 cents of error, and all 7-limit intervals with odd limit up to 10,000,000 are consistent (first odd to cause inconsistencies is 13671875). 171edo is thus an excellent system for classifying intervals and commas simply and accurately.
{{Harmonics in equal|171|columns=4|prec=5}}
{{Harmonics in equal|171|columns=4|prec=5}}
{{#invoke: Interval_table | interval_table
{| class="wikitable center-1 right-2 mw-collapsible mw-collapsed"
| tuning=171edo
|-
| additional=
! Steps
| max_error=35
! Cents
| debug={{lc:}}
! Approximate ratios
}}
! [[Ups and downs notation]]
|-
| 0
| 0
| [[1/1]]
| D
|-
| 1
| 7.02
|
| ^D, ^<sup>4</sup>E♭♭
|-
| 2
| 14.04
|
| ^^D, ^<sup>5</sup>E♭♭
|-
| 3
| 21.05
|
| ^<sup>3</sup>D, ^<sup>6</sup>E♭♭
|-
| 4
| 28.07
|
| ^<sup>4</sup>D, ^<sup>7</sup>E♭♭
|-
| 5
| 35.09
| [[49/48]], [[50/49]], [[51/50]]
| ^<sup>5</sup>D, v<sup>8</sup>E♭
|-
| 6
| 42.11
| [[41/40]], [[42/41]]
| ^<sup>6</sup>D, v<sup>7</sup>E♭
|-
| 7
| 49.12
| [[35/34]], [[36/35]]
| ^<sup>7</sup>D, v<sup>6</sup>E♭
|-
| 8
| 56.14
| [[31/30]], [[32/31]]
| ^<sup>8</sup>D, v<sup>5</sup>E♭
|-
| 9
| 63.16
| [[28/27]]
| v<sup>7</sup>D♯, v<sup>4</sup>E♭
|-
| 10
| 70.18
| [[25/24]], [[51/49]]
| v<sup>6</sup>D♯, v<sup>3</sup>E♭
|-
| 11
| 77.19
| [[23/22]]
| v<sup>5</sup>D♯, vvE♭
|-
| 12
| 84.21
| [[21/20]]
| v<sup>4</sup>D♯, vE♭
|-
| 13
| 91.23
| [[39/37]], [[58/55]]
| v<sup>3</sup>D♯, E♭
|-
| 14
| 98.25
| [[18/17]], [[55/52]]
| vvD♯, ^E♭
|-
| 15
| 105.26
| [[17/16]]
| vD♯, ^^E♭
|-
| 16
| 112.28
| [[16/15]]
| D♯, ^<sup>3</sup>E♭
|-
| 17
| 119.3
| [[15/14]]
| ^D♯, ^<sup>4</sup>E♭
|-
| 18
| 126.32
| [[43/40]]
| ^^D♯, ^<sup>5</sup>E♭
|-
| 19
| 133.33
| [[27/25]]
| ^<sup>3</sup>D♯, ^<sup>6</sup>E♭
|-
| 20
| 140.35
| [[51/47]]
| ^<sup>4</sup>D♯, ^<sup>7</sup>E♭
|-
| 21
| 147.37
| [[37/34]], [[49/45]]
| ^<sup>5</sup>D♯, v<sup>8</sup>E
|-
| 22
| 154.39
| [[35/32]], [[47/43]]
| ^<sup>6</sup>D♯, v<sup>7</sup>E
|-
| 23
| 161.4
| [[45/41]], [[56/51]]
| ^<sup>7</sup>D♯, v<sup>6</sup>E
|-
| 24
| 168.42
| [[43/39]], [[54/49]]
| ^<sup>8</sup>D♯, v<sup>5</sup>E
|-
| 25
| 175.44
| [[31/28]], [[52/47]]
| v<sup>7</sup>D𝄪, v<sup>4</sup>E
|-
| 26
| 182.46
| [[10/9]]
| v<sup>6</sup>D𝄪, v<sup>3</sup>E
|-
| 27
| 189.47
| [[29/26]], [[48/43]]
| v<sup>5</sup>D𝄪, vvE
|-
| 28
| 196.49
| [[28/25]]
| v<sup>4</sup>D𝄪, vE
|-
| 29
| 203.51
| [[9/8]]
| E
|-
| 30
| 210.53
| [[35/31]]
| ^E, ^<sup>4</sup>F♭
|-
| 31
| 217.54
| [[17/15]]
| ^^E, ^<sup>5</sup>F♭
|-
| 32
| 224.56
| [[33/29]], [[41/36]]
| ^<sup>3</sup>E, ^<sup>6</sup>F♭
|-
| 33
| 231.58
| [[8/7]]
| ^<sup>4</sup>E, ^<sup>7</sup>F♭
|-
| 34
| 238.6
| [[31/27]], [[39/34]]
| ^<sup>5</sup>E, v<sup>8</sup>F
|-
| 35
| 245.61
|
| ^<sup>6</sup>E, v<sup>7</sup>F
|-
| 36
| 252.63
| [[37/32]]
| ^<sup>7</sup>E, v<sup>6</sup>F
|-
| 37
| 259.65
| [[36/31]], [[43/37]]
| ^<sup>8</sup>E, v<sup>5</sup>F
|-
| 38
| 266.67
| [[7/6]]
| v<sup>7</sup>E♯, v<sup>4</sup>F
|-
| 39
| 273.68
| [[41/35]], [[48/41]]
| v<sup>6</sup>E♯, v<sup>3</sup>F
|-
| 40
| 280.7
| [[20/17]]
| v<sup>5</sup>E♯, vvF
|-
| 41
| 287.72
|
| v<sup>4</sup>E♯, vF
|-
| 42
| 294.74
| [[32/27]], [[51/43]]
| F
|-
| 43
| 301.75
| [[25/21]]
| ^F, ^<sup>4</sup>G♭♭
|-
| 44
| 308.77
| [[43/36]], [[49/41]], [[55/46]]
| ^^F, ^<sup>5</sup>G♭♭
|-
| 45
| 315.79
| [[6/5]]
| ^<sup>3</sup>F, ^<sup>6</sup>G♭♭
|-
| 46
| 322.81
| [[41/34]], [[47/39]]
| ^<sup>4</sup>F, ^<sup>7</sup>G♭♭
|-
| 47
| 329.82
| [[52/43]]
| ^<sup>5</sup>F, v<sup>8</sup>G♭
|-
| 48
| 336.84
| [[17/14]], [[62/51]]
| ^<sup>6</sup>F, v<sup>7</sup>G♭
|-
| 49
| 343.86
| [[50/41]]
| ^<sup>7</sup>F, v<sup>6</sup>G♭
|-
| 50
| 350.88
| [[49/40]], [[60/49]]
| ^<sup>8</sup>F, v<sup>5</sup>G♭
|-
| 51
| 357.89
|
| v<sup>7</sup>F♯, v<sup>4</sup>G♭
|-
| 52
| 364.91
| [[21/17]], [[58/47]]
| v<sup>6</sup>F♯, v<sup>3</sup>G♭
|-
| 53
| 371.93
| [[31/25]]
| v<sup>5</sup>F♯, vvG♭
|-
| 54
| 378.95
| [[51/41]], [[56/45]]
| v<sup>4</sup>F♯, vG♭
|-
| 55
| 385.96
| [[5/4]]
| v<sup>3</sup>F♯, G♭
|-
| 56
| 392.98
|
| vvF♯, ^G♭
|-
| 57
| 400
| [[29/23]], [[34/27]]
| vF♯, ^^G♭
|-
| 58
| 407.02
| [[43/34]], [[62/49]]
| F♯, ^<sup>3</sup>G♭
|-
| 59
| 414.04
| [[33/26]], [[47/37]]
| ^F♯, ^<sup>4</sup>G♭
|-
| 60
| 421.05
| [[37/29]], [[51/40]]
| ^^F♯, ^<sup>5</sup>G♭
|-
| 61
| 428.07
| [[32/25]], [[41/32]]
| ^<sup>3</sup>F♯, ^<sup>6</sup>G♭
|-
| 62
| 435.09
| [[9/7]]
| ^<sup>4</sup>F♯, ^<sup>7</sup>G♭
|-
| 63
| 442.11
| [[31/24]], [[40/31]]
| ^<sup>5</sup>F♯, v<sup>8</sup>G
|-
| 64
| 449.12
| [[35/27]]
| ^<sup>6</sup>F♯, v<sup>7</sup>G
|-
| 65
| 456.14
| [[56/43]]
| ^<sup>7</sup>F♯, v<sup>6</sup>G
|-
| 66
| 463.16
| [[17/13]]
| ^<sup>8</sup>F♯, v<sup>5</sup>G
|-
| 67
| 470.18
| [[21/16]]
| v<sup>7</sup>F𝄪, v<sup>4</sup>G
|-
| 68
| 477.19
| [[29/22]], [[54/41]]
| v<sup>6</sup>F𝄪, v<sup>3</sup>G
|-
| 69
| 484.21
| [[41/31]], [[45/34]]
| v<sup>5</sup>F𝄪, vvG
|-
| 70
| 491.23
|
| v<sup>4</sup>F𝄪, vG
|-
| 71
| 498.25
| [[4/3]]
| G
|-
| 72
| 505.26
|
| ^G, ^<sup>4</sup>A♭♭
|-
| 73
| 512.28
| [[39/29]], [[43/32]]
| ^^G, ^<sup>5</sup>A♭♭
|-
| 74
| 519.3
| [[27/20]], [[58/43]]
| ^<sup>3</sup>G, ^<sup>6</sup>A♭♭
|-
| 75
| 526.32
| [[42/31]]
| ^<sup>4</sup>G, ^<sup>7</sup>A♭♭
|-
| 76
| 533.33
| [[34/25]], [[49/36]]
| ^<sup>5</sup>G, v<sup>8</sup>A♭
|-
| 77
| 540.35
| [[41/30]], [[56/41]]
| ^<sup>6</sup>G, v<sup>7</sup>A♭
|-
| 78
| 547.37
| [[48/35]]
| ^<sup>7</sup>G, v<sup>6</sup>A♭
|-
| 79
| 554.39
| [[51/37]], [[62/45]]
| ^<sup>8</sup>G, v<sup>5</sup>A♭
|-
| 80
| 561.4
| [[47/34]]
| v<sup>7</sup>G♯, v<sup>4</sup>A♭
|-
| 81
| 568.42
| [[25/18]]
| v<sup>6</sup>G♯, v<sup>3</sup>A♭
|-
| 82
| 575.44
| [[46/33]], [[60/43]]
| v<sup>5</sup>G♯, vvA♭
|-
| 83
| 582.46
| [[7/5]]
| v<sup>4</sup>G♯, vA♭
|-
| 84
| 589.47
| [[45/32]], [[52/37]]
| v<sup>3</sup>G♯, A♭
|-
| 85
| 596.49
| [[24/17]]
| vvG♯, ^A♭
|-
| 86
| 603.51
| [[17/12]]
| vG♯, ^^A♭
|-
| 87
| 610.53
| [[37/26]]
| G♯, ^<sup>3</sup>A♭
|-
| 88
| 617.54
| [[10/7]]
| ^G♯, ^<sup>4</sup>A♭
|-
| 89
| 624.56
| [[33/23]], [[43/30]]
| ^^G♯, ^<sup>5</sup>A♭
|-
| 90
| 631.58
| [[36/25]], [[49/34]]
| ^<sup>3</sup>G♯, ^<sup>6</sup>A♭
|-
| 91
| 638.6
|
| ^<sup>4</sup>G♯, ^<sup>7</sup>A♭
|-
| 92
| 645.61
| [[45/31]]
| ^<sup>5</sup>G♯, v<sup>8</sup>A
|-
| 93
| 652.63
| [[35/24]], [[51/35]]
| ^<sup>6</sup>G♯, v<sup>7</sup>A
|-
| 94
| 659.65
| [[41/28]], [[60/41]]
| ^<sup>7</sup>G♯, v<sup>6</sup>A
|-
| 95
| 666.67
| [[25/17]], [[47/32]]
| ^<sup>8</sup>G♯, v<sup>5</sup>A
|-
| 96
| 673.68
| [[31/21]]
| v<sup>7</sup>G𝄪, v<sup>4</sup>A
|-
| 97
| 680.7
| [[40/27]], [[43/29]]
| v<sup>6</sup>G𝄪, v<sup>3</sup>A
|-
| 98
| 687.72
| [[58/39]]
| v<sup>5</sup>G𝄪, vvA
|-
| 99
| 694.74
|
| v<sup>4</sup>G𝄪, vA
|-
| 100
| 701.75
| [[3/2]]
| A
|-
| 101
| 708.77
|
| ^A, ^<sup>4</sup>B♭♭
|-
| 102
| 715.79
| [[62/41]]
| ^^A, ^<sup>5</sup>B♭♭
|-
| 103
| 722.81
| [[41/27]], [[44/29]]
| ^<sup>3</sup>A, ^<sup>6</sup>B♭♭
|-
| 104
| 729.82
| [[32/21]]
| ^<sup>4</sup>A, ^<sup>7</sup>B♭♭
|-
| 105
| 736.84
| [[26/17]], [[49/32]]
| ^<sup>5</sup>A, v<sup>8</sup>B♭
|-
| 106
| 743.86
| [[43/28]]
| ^<sup>6</sup>A, v<sup>7</sup>B♭
|-
| 107
| 750.88
| [[54/35]]
| ^<sup>7</sup>A, v<sup>6</sup>B♭
|-
| 108
| 757.89
| [[31/20]], [[48/31]]
| ^<sup>8</sup>A, v<sup>5</sup>B♭
|-
| 109
| 764.91
| [[14/9]]
| v<sup>7</sup>A♯, v<sup>4</sup>B♭
|-
| 110
| 771.93
| [[25/16]]
| v<sup>6</sup>A♯, v<sup>3</sup>B♭
|-
| 111
| 778.95
| [[58/37]]
| v<sup>5</sup>A♯, vvB♭
|-
| 112
| 785.96
| [[52/33]]
| v<sup>4</sup>A♯, vB♭
|-
| 113
| 792.98
| [[49/31]]
| v<sup>3</sup>A♯, B♭
|-
| 114
| 800
| [[27/17]], [[46/29]]
| vvA♯, ^B♭
|-
| 115
| 807.02
| [[51/32]]
| vA♯, ^^B♭
|-
| 116
| 814.04
| [[8/5]]
| A♯, ^<sup>3</sup>B♭
|-
| 117
| 821.05
| [[45/28]]
| ^A♯, ^<sup>4</sup>B♭
|-
| 118
| 828.07
| [[50/31]]
| ^^A♯, ^<sup>5</sup>B♭
|-
| 119
| 835.09
| [[34/21]], [[47/29]]
| ^<sup>3</sup>A♯, ^<sup>6</sup>B♭
|-
| 120
| 842.11
|
| ^<sup>4</sup>A♯, ^<sup>7</sup>B♭
|-
| 121
| 849.12
| [[49/30]]
| ^<sup>5</sup>A♯, v<sup>8</sup>B
|-
| 122
| 856.14
| [[41/25]]
| ^<sup>6</sup>A♯, v<sup>7</sup>B
|-
| 123
| 863.16
| [[28/17]], [[51/31]]
| ^<sup>7</sup>A♯, v<sup>6</sup>B
|-
| 124
| 870.18
| [[43/26]]
| ^<sup>8</sup>A♯, v<sup>5</sup>B
|-
| 125
| 877.19
|
| v<sup>7</sup>A𝄪, v<sup>4</sup>B
|-
| 126
| 884.21
| [[5/3]]
| v<sup>6</sup>A𝄪, v<sup>3</sup>B
|-
| 127
| 891.23
|
| v<sup>5</sup>A𝄪, vvB
|-
| 128
| 898.25
| [[42/25]]
| v<sup>4</sup>A𝄪, vB
|-
| 129
| 905.26
| [[27/16]]
| B
|-
| 130
| 912.28
|
| ^B, ^<sup>4</sup>C♭
|-
| 131
| 919.3
| [[17/10]]
| ^^B, ^<sup>5</sup>C♭
|-
| 132
| 926.32
| [[41/24]]
| ^<sup>3</sup>B, ^<sup>6</sup>C♭
|-
| 133
| 933.33
| [[12/7]]
| ^<sup>4</sup>B, ^<sup>7</sup>C♭
|-
| 134
| 940.35
| [[31/18]]
| ^<sup>5</sup>B, v<sup>8</sup>C
|-
| 135
| 947.37
|
| ^<sup>6</sup>B, v<sup>7</sup>C
|-
| 136
| 954.39
|
| ^<sup>7</sup>B, v<sup>6</sup>C
|-
| 137
| 961.4
| [[54/31]]
| ^<sup>8</sup>B, v<sup>5</sup>C
|-
| 138
| 968.42
| [[7/4]]
| v<sup>7</sup>B♯, v<sup>4</sup>C
|-
| 139
| 975.44
| [[58/33]]
| v<sup>6</sup>B♯, v<sup>3</sup>C
|-
| 140
| 982.46
| [[30/17]]
| v<sup>5</sup>B♯, vvC
|-
| 141
| 989.47
| [[62/35]]
| v<sup>4</sup>B♯, vC
|-
| 142
| 996.49
| [[16/9]]
| C
|-
| 143
| 1003.51
| [[25/14]]
| ^C, ^<sup>4</sup>D♭♭
|-
| 144
| 1010.53
| [[43/24]], [[52/29]]
| ^^C, ^<sup>5</sup>D♭♭
|-
| 145
| 1017.54
| [[9/5]]
| ^<sup>3</sup>C, ^<sup>6</sup>D♭♭
|-
| 146
| 1024.56
| [[47/26]], [[56/31]]
| ^<sup>4</sup>C, ^<sup>7</sup>D♭♭
|-
| 147
| 1031.58
| [[49/27]]
| ^<sup>5</sup>C, v<sup>8</sup>D♭
|-
| 148
| 1038.6
| [[51/28]]
| ^<sup>6</sup>C, v<sup>7</sup>D♭
|-
| 149
| 1045.61
|
| ^<sup>7</sup>C, v<sup>6</sup>D♭
|-
| 150
| 1052.63
|
| ^<sup>8</sup>C, v<sup>5</sup>D♭
|-
| 151
| 1059.65
|
| v<sup>7</sup>C♯, v<sup>4</sup>D♭
|-
| 152
| 1066.67
| [[50/27]]
| v<sup>6</sup>C♯, v<sup>3</sup>D♭
|-
| 153
| 1073.68
|
| v<sup>5</sup>C♯, vvD♭
|-
| 154
| 1080.7
| [[28/15]]
| v<sup>4</sup>C♯, vD♭
|-
| 155
| 1087.72
| [[15/8]]
| v<sup>3</sup>C♯, D♭
|-
| 156
| 1094.74
| [[32/17]]
| vvC♯, ^D♭
|-
| 157
| 1101.75
| [[17/9]]
| vC♯, ^^D♭
|-
| 158
| 1108.77
| [[55/29]]
| C♯, ^<sup>3</sup>D♭
|-
| 159
| 1115.79
| [[40/21]]
| ^C♯, ^<sup>4</sup>D♭
|-
| 160
| 1122.81
| [[44/23]]
| ^^C♯, ^<sup>5</sup>D♭
|-
| 161
| 1129.82
| [[48/25]]
| ^<sup>3</sup>C♯, ^<sup>6</sup>D♭
|-
| 162
| 1136.84
| [[27/14]]
| ^<sup>4</sup>C♯, ^<sup>7</sup>D♭
|-
| 163
| 1143.86
| [[31/16]], [[60/31]]
| ^<sup>5</sup>C♯, v<sup>8</sup>D
|-
| 164
| 1150.88
| [[35/18]]
| ^<sup>6</sup>C♯, v<sup>7</sup>D
|-
| 165
| 1157.89
| [[41/21]]
| ^<sup>7</sup>C♯, v<sup>6</sup>D
|-
| 166
| 1164.91
| [[49/25]]
| ^<sup>8</sup>C♯, v<sup>5</sup>D
|-
| 167
| 1171.93
|
| v<sup>7</sup>C𝄪, v<sup>4</sup>D
|-
| 168
| 1178.95
|
| v<sup>6</sup>C𝄪, v<sup>3</sup>D
|-
| 169
| 1185.96
|
| v<sup>5</sup>C𝄪, vvD
|-
| 170
| 1192.98
|
| v<sup>4</sup>C𝄪, vD
|-
| 171
| 1200
| [[2/1]]
| D
|}

Revision as of 09:37, 25 December 2025

An excellent system for approximating the 7-limit is 171edo. The 9-odd-limit tonality diamond is approximated with just over 0.4 cents of error, and all 7-limit intervals with odd limit up to 10,000,000 are consistent (first odd to cause inconsistencies is 13671875). 171edo is thus an excellent system for classifying intervals and commas simply and accurately.

Approximation of prime harmonics in 171edo
Harmonic 2 3 5 7
Error Absolute (¢) +0.00000 -0.20061 -0.34880 -0.40485
Relative (%) +0.0 -2.9 -5.0 -5.8
Steps
(reduced) 		171
(0) 		271
(100) 		397
(55) 		480
(138)
Steps Cents Approximate ratios Ups and downs notation
0 0 1/1 D
1 7.02 ^D, ^4E♭♭
2 14.04 ^^D, ^5E♭♭
3 21.05 ^3D, ^6E♭♭
4 28.07 ^4D, ^7E♭♭
5 35.09 49/48, 50/49, 51/50 ^5D, v8E♭
6 42.11 41/40, 42/41 ^6D, v7E♭
7 49.12 35/34, 36/35 ^7D, v6E♭
8 56.14 31/30, 32/31 ^8D, v5E♭
9 63.16 28/27 v7D♯, v4E♭
10 70.18 25/24, 51/49 v6D♯, v3E♭
11 77.19 23/22 v5D♯, vvE♭
12 84.21 21/20 v4D♯, vE♭
13 91.23 39/37, 58/55 v3D♯, E♭
14 98.25 18/17, 55/52 vvD♯, ^E♭
15 105.26 17/16 vD♯, ^^E♭
16 112.28 16/15 D♯, ^3E♭
17 119.3 15/14 ^D♯, ^4E♭
18 126.32 43/40 ^^D♯, ^5E♭
19 133.33 27/25 ^3D♯, ^6E♭
20 140.35 51/47 ^4D♯, ^7E♭
21 147.37 37/34, 49/45 ^5D♯, v8E
22 154.39 35/32, 47/43 ^6D♯, v7E
23 161.4 45/41, 56/51 ^7D♯, v6E
24 168.42 43/39, 54/49 ^8D♯, v5E
25 175.44 31/28, 52/47 v7D𝄪, v4E
26 182.46 10/9 v6D𝄪, v3E
27 189.47 29/26, 48/43 v5D𝄪, vvE
28 196.49 28/25 v4D𝄪, vE
29 203.51 9/8 E
30 210.53 35/31 ^E, ^4F♭
31 217.54 17/15 ^^E, ^5F♭
32 224.56 33/29, 41/36 ^3E, ^6F♭
33 231.58 8/7 ^4E, ^7F♭
34 238.6 31/27, 39/34 ^5E, v8F
35 245.61 ^6E, v7F
36 252.63 37/32 ^7E, v6F
37 259.65 36/31, 43/37 ^8E, v5F
38 266.67 7/6 v7E♯, v4F
39 273.68 41/35, 48/41 v6E♯, v3F
40 280.7 20/17 v5E♯, vvF
41 287.72 v4E♯, vF
42 294.74 32/27, 51/43 F
43 301.75 25/21 ^F, ^4G♭♭
44 308.77 43/36, 49/41, 55/46 ^^F, ^5G♭♭
45 315.79 6/5 ^3F, ^6G♭♭
46 322.81 41/34, 47/39 ^4F, ^7G♭♭
47 329.82 52/43 ^5F, v8G♭
48 336.84 17/14, 62/51 ^6F, v7G♭
49 343.86 50/41 ^7F, v6G♭
50 350.88 49/40, 60/49 ^8F, v5G♭
51 357.89 v7F♯, v4G♭
52 364.91 21/17, 58/47 v6F♯, v3G♭
53 371.93 31/25 v5F♯, vvG♭
54 378.95 51/41, 56/45 v4F♯, vG♭
55 385.96 5/4 v3F♯, G♭
56 392.98 vvF♯, ^G♭
57 400 29/23, 34/27 vF♯, ^^G♭
58 407.02 43/34, 62/49 F♯, ^3G♭
59 414.04 33/26, 47/37 ^F♯, ^4G♭
60 421.05 37/29, 51/40 ^^F♯, ^5G♭
61 428.07 32/25, 41/32 ^3F♯, ^6G♭
62 435.09 9/7 ^4F♯, ^7G♭
63 442.11 31/24, 40/31 ^5F♯, v8G
64 449.12 35/27 ^6F♯, v7G
65 456.14 56/43 ^7F♯, v6G
66 463.16 17/13 ^8F♯, v5G
67 470.18 21/16 v7F𝄪, v4G
68 477.19 29/22, 54/41 v6F𝄪, v3G
69 484.21 41/31, 45/34 v5F𝄪, vvG
70 491.23 v4F𝄪, vG
71 498.25 4/3 G
72 505.26 ^G, ^4A♭♭
73 512.28 39/29, 43/32 ^^G, ^5A♭♭
74 519.3 27/20, 58/43 ^3G, ^6A♭♭
75 526.32 42/31 ^4G, ^7A♭♭
76 533.33 34/25, 49/36 ^5G, v8A♭
77 540.35 41/30, 56/41 ^6G, v7A♭
78 547.37 48/35 ^7G, v6A♭
79 554.39 51/37, 62/45 ^8G, v5A♭
80 561.4 47/34 v7G♯, v4A♭
81 568.42 25/18 v6G♯, v3A♭
82 575.44 46/33, 60/43 v5G♯, vvA♭
83 582.46 7/5 v4G♯, vA♭
84 589.47 45/32, 52/37 v3G♯, A♭
85 596.49 24/17 vvG♯, ^A♭
86 603.51 17/12 vG♯, ^^A♭
87 610.53 37/26 G♯, ^3A♭
88 617.54 10/7 ^G♯, ^4A♭
89 624.56 33/23, 43/30 ^^G♯, ^5A♭
90 631.58 36/25, 49/34 ^3G♯, ^6A♭
91 638.6 ^4G♯, ^7A♭
92 645.61 45/31 ^5G♯, v8A
93 652.63 35/24, 51/35 ^6G♯, v7A
94 659.65 41/28, 60/41 ^7G♯, v6A
95 666.67 25/17, 47/32 ^8G♯, v5A
96 673.68 31/21 v7G𝄪, v4A
97 680.7 40/27, 43/29 v6G𝄪, v3A
98 687.72 58/39 v5G𝄪, vvA
99 694.74 v4G𝄪, vA
100 701.75 3/2 A
101 708.77 ^A, ^4B♭♭
102 715.79 62/41 ^^A, ^5B♭♭
103 722.81 41/27, 44/29 ^3A, ^6B♭♭
104 729.82 32/21 ^4A, ^7B♭♭
105 736.84 26/17, 49/32 ^5A, v8B♭
106 743.86 43/28 ^6A, v7B♭
107 750.88 54/35 ^7A, v6B♭
108 757.89 31/20, 48/31 ^8A, v5B♭
109 764.91 14/9 v7A♯, v4B♭
110 771.93 25/16 v6A♯, v3B♭
111 778.95 58/37 v5A♯, vvB♭
112 785.96 52/33 v4A♯, vB♭
113 792.98 49/31 v3A♯, B♭
114 800 27/17, 46/29 vvA♯, ^B♭
115 807.02 51/32 vA♯, ^^B♭
116 814.04 8/5 A♯, ^3B♭
117 821.05 45/28 ^A♯, ^4B♭
118 828.07 50/31 ^^A♯, ^5B♭
119 835.09 34/21, 47/29 ^3A♯, ^6B♭
120 842.11 ^4A♯, ^7B♭
121 849.12 49/30 ^5A♯, v8B
122 856.14 41/25 ^6A♯, v7B
123 863.16 28/17, 51/31 ^7A♯, v6B
124 870.18 43/26 ^8A♯, v5B
125 877.19 v7A𝄪, v4B
126 884.21 5/3 v6A𝄪, v3B
127 891.23 v5A𝄪, vvB
128 898.25 42/25 v4A𝄪, vB
129 905.26 27/16 B
130 912.28 ^B, ^4C♭
131 919.3 17/10 ^^B, ^5C♭
132 926.32 41/24 ^3B, ^6C♭
133 933.33 12/7 ^4B, ^7C♭
134 940.35 31/18 ^5B, v8C
135 947.37 ^6B, v7C
136 954.39 ^7B, v6C
137 961.4 54/31 ^8B, v5C
138 968.42 7/4 v7B♯, v4C
139 975.44 58/33 v6B♯, v3C
140 982.46 30/17 v5B♯, vvC
141 989.47 62/35 v4B♯, vC
142 996.49 16/9 C
143 1003.51 25/14 ^C, ^4D♭♭
144 1010.53 43/24, 52/29 ^^C, ^5D♭♭
145 1017.54 9/5 ^3C, ^6D♭♭
146 1024.56 47/26, 56/31 ^4C, ^7D♭♭
147 1031.58 49/27 ^5C, v8D♭
148 1038.6 51/28 ^6C, v7D♭
149 1045.61 ^7C, v6D♭
150 1052.63 ^8C, v5D♭
151 1059.65 v7C♯, v4D♭
152 1066.67 50/27 v6C♯, v3D♭
153 1073.68 v5C♯, vvD♭
154 1080.7 28/15 v4C♯, vD♭
155 1087.72 15/8 v3C♯, D♭
156 1094.74 32/17 vvC♯, ^D♭
157 1101.75 17/9 vC♯, ^^D♭
158 1108.77 55/29 C♯, ^3D♭
159 1115.79 40/21 ^C♯, ^4D♭
160 1122.81 44/23 ^^C♯, ^5D♭
161 1129.82 48/25 ^3C♯, ^6D♭
162 1136.84 27/14 ^4C♯, ^7D♭
163 1143.86 31/16, 60/31 ^5C♯, v8D
164 1150.88 35/18 ^6C♯, v7D
165 1157.89 41/21 ^7C♯, v6D
166 1164.91 49/25 ^8C♯, v5D
167 1171.93 v7C𝄪, v4D
168 1178.95 v6C𝄪, v3D
169 1185.96 v5C𝄪, vvD
170 1192.98 v4C𝄪, vD
171 1200 2/1 D
Retrieved from "https://en.xen.wiki/index.php?title=User:Overthink/The_7-limit_in_171edo&oldid=219731"