User:Overthink/Sandbox: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older edit
VisualWikitext
Overthink (talk | contribs)
autopatrolled
2,732 edits
substitute further
Overthink (talk | contribs)
autopatrolled
2,732 edits
 
(89 intermediate revisions by the same user not shown)
Line 1: Line 1:
== Tables ==
{{Infobox interval|Monzo= -702 400 0 -99 100|debug=1}}
{| class="wikitable"
The difference between 100 [[896/891]]'s and [[7/4]]
|+
{{Clear}}
! colspan="2" |um
== Rank-3 tuning spectrum ==
! rowspan="2" |yeah
9-odd-limit: 1/1, 10/9, 9/8, 8/7, 7/6, 6/5, 5/4, 9/7, 4/3, 7/5, and complements
 
Single tunings fully defined by eigenmonzos (+ the octave):
 
{10/9, 9/8, 6/5, 5/4, 4/3}, {10/9, 8/7}, {10/9, 7/6}, {10/9, 9/7, 7/5}, {9/8, 8/7, 7/6, 9/7, 4/3}, {9/8, 4/3, 7/5}, {8/7, 6/5}, {8/7, 5/4, 7/5}, {7/6, 6/5, 7/5}, {7/6, 5/4}, {6/5, 9/7}, {5/4, 9/7}
 
=== Marvel ===
 
{10/9, 9/8, 6/5, 5/4, 4/3}:
 
~3/2: 701.955{{C}}, ~5/4: 386.314{{C}}
 
{10/9, 8/7}:
 
~3/2: 700.670{{C}}, ~5/4: 383.743{{C}}
 
{10/9, 7/6}:
 
~3/2: 700.413{{C}}, ~5/4: 383.229 {{C}}
 
{10/9, 9/7, 7/5}:
 
~3/2: 700.027{{C}}, ~5/4: 382.458{{C}}
 
{9/8, 8/7, 7/6, 9/7, 4/3}:
 
~3/2: 701.955{{C}}, ~5/4: 382.458{{C}}
 
{9/8, 4/3, 7/5}:
 
~3/2: 701.955{{C}}, ~5/4: 378.602{{C}}
 
{8/7, 6/5}:
 
~3/2: 700.027{{C}}, ~5/4: 384.386{{C}}
 
{8/7, 5/4, 7/5}:
 
~3/2: 698.099{{C}}, ~5/4: 386.314{{C}}
 
{7/6, 6/5, 7/5}:
 
~3/2: 699.384{{C}}, ~5/4: 383.743{{C}}
 
{7/6, 5/4}:
 
~3/2: 694.243{{C}}, ~5/4: 386.314{{C}}
 
{6/5, 9/7}:
 
~3/2: 698.099{{C}}, ~5/4: 382.458{{C}}
 
<s>{5/4, 9/7}</s> (impossible)
 
Additional eigenmonzo tunings up to 21-odd-limit (new intervals: 21/20, 16/15, 15/14, 21/16)
 
{21/20, 16/15}
 
{21/20, 5/4}
 
{21/20, 9/7}
 
<s>{16/15, 8/7}</s> (impossible)
 
{16/15, 7/6}
 
{16/15, 9/7}
 
{16/15, 7/5}
 
{15/14, ''Incomplete''
 
{| class="wikitable center-all"
! Gene-<br>rator
! colspan=17 | ~3/2
|-
|-
! rowspan=17 | ~5/4
! colspan=3 | EDO tuning
! rowspan=3 |
|
| [[19edo|11\19]]
| [[31edo|18\31]]
|
|
|
| [[12edo|7\12]]
|
|
|
|
| [[53edo|31\53]]
|
| [[41edo|24\41]]
| [[22edo|1\22]]
|-
|-
! rowspan=2 | (↓↓↓)
! colspan=2 | Eigenmonzo
| 112/75
|
|
|
|
| 25/14
| 25/21
|
| 63/50
| 189/100
| 567/400
|
|
|-
| 3/2
|
|
|
|
|
|}
{| class="wikitable center-1 right-2 mw-collapsible mw-collapsed"
|-
|-
! Steps
! (↓↓↓)
! Cents
! Size (¢)
! Approximate ratios
| 694.243
! [[Ups and downs notation]]
| 694.737
| 696.774
| 698.099
| 699.384
| 700.000
| 700.027
| 700.413
| 700.670
| 701.887
| 701.955
| 702.439
| 709.091
|-
|-
| 0
! colspan=3 |
| 0
! style="height: 5px;" |
| [[1/1]]
! colspan=13 |  
| D
|-
|-
| 1
|
| 3.86
| 56/45
| 378.692
! rowspan=13 |
|
|
|
|
|
|
|
|
|
|
| {3/2, 7/5}
|
|  
|  
| ^D, ^<sup>8</sup>E♭♭
|-
|-
| 2
| [[19edo|6\19]]
| 7.72
|
| 378.947
|
| [[19edo]]
|
|
|
|
|
|
|
|
|
|
|  
|  
| ^^D, ^<sup>9</sup>E♭♭
|-
|-
| 3
| [[41edo|13\41]]
| 11.58
|
| 380.488
|
|
|
|
|
|
|
|
|
|
|
| [[41edo]]
|  
|  
| ^<sup>3</sup>D, ^<sup>10</sup>E♭♭
|-
|-
| 4
| [[22edo|7\22]]
| 15.43
|
| 381.818
|  
|  
| ^<sup>4</sup>D, ^<sup>11</sup>E♭♭
|  
|
|
|
|
|
|
|
|
|
|
| [[22edo]]
|-
|-
| 5
|
| 19.29
| 9/7
| [[88/87]], [[91/90]], [[92/91]], [[93/92]]
| 382.458
| ^<sup>5</sup>D, ^<sup>12</sup>E♭♭
|
|
|
| {5/3, 9/7}
|
|
| {7/5, 9/5}
|
|
|  
| {3/2, 7/4}
|
|
|-
|-
| 6
|
| 23.15
| 245/162
| [[75/74]], [[76/75]], [[77/76]]
| 383.229
| ^<sup>6</sup>D, ^<sup>13</sup>E♭♭
|  
|
|
|
|
|
|
| {7/6, 9/5}
|
|
|
|
|  
|-
|-
| 7
| [[72edo|23\72]]
| 27.01
|
| [[64/63]], [[65/64]], [[66/65]]
| 383.333
| ^<sup>7</sup>D, ^<sup>14</sup>E♭♭
|
|
|
|
|
| [[72edo]]
|  
|
|
|
|
|
|
|-
|-
| 8
|
| 30.87
| 36/35
| [[56/55]], [[57/56]]
| 383.743
| ^<sup>8</sup>D, v<sup>15</sup>E♭
|  
|
|
|
| {5/3, 7/6}
|  
|
|
| {7/4, 9/5}
|
|
|
|
|-
|-
| 9
|
| 34.73
| 175/144
| [[50/49]], [[51/50]]
| 384.386
| ^<sup>9</sup>D, v<sup>14</sup>E♭
|  
|-
|  
| 10
|  
| 38.59
|  
| [[45/44]], [[46/45]]
|  
| ^<sup>10</sup>D, v<sup>13</sup>E♭
|  
|-
| {5/3, 7/4}
| 11
|  
| 42.44
|  
| [[41/40]]
|  
| ^<sup>11</sup>D, v<sup>12</sup>E♭
|-
| 12
| 46.3
| [[38/37]]
| ^<sup>12</sup>D, v<sup>11</sup>E♭
|-
| 13
| 50.16
| [[35/34]]
| ^<sup>13</sup>D, v<sup>10</sup>E♭
|-
| 14
| 54.02
| [[65/63]]
| ^<sup>14</sup>D, v<sup>9</sup>E♭
|-
| 15
| 57.88
| [[91/88]]
| ^<sup>15</sup>D, v<sup>8</sup>E♭
|-
| 16
| 61.74
| [[57/55]], [[85/82]]
| v<sup>14</sup>D♯, v<sup>7</sup>E♭
|-
| 17
| 65.59
| [[27/26]], [[80/77]]
| v<sup>13</sup>D♯, v<sup>6</sup>E♭
|-
| 18
| 69.45
| [[51/49]], [[77/74]]
| v<sup>12</sup>D♯, v<sup>5</sup>E♭
|-
| 19
| 73.31
| [[24/23]]
| v<sup>11</sup>D♯, v<sup>4</sup>E♭
|-
| 20
| 77.17
| [[23/22]], [[91/87]]
| v<sup>10</sup>D♯, v<sup>3</sup>E♭
|-
| 21
| 81.03
| [[22/21]]
| v<sup>9</sup>D♯, vvE♭
|-
| 22
| 84.89
| [[21/20]]
| v<sup>8</sup>D♯, vE♭
|-
| 23
| 88.75
| [[20/19]]
| v<sup>7</sup>D♯, E♭
|-
| 24
| 92.6
| [[58/55]], [[96/91]]
| v<sup>6</sup>D♯, ^E♭
|-
| 25
| 96.46
| [[37/35]], [[55/52]], [[92/87]]
| v<sup>5</sup>D♯, ^^E♭
|-
| 26
| 100.32
|  
|  
| v<sup>4</sup>D♯, ^<sup>3</sup>E♭
|-
| 27
| 104.18
| [[86/81]]
| v<sup>3</sup>D♯, ^<sup>4</sup>E♭
|-
| 28
| 108.04
| [[33/31]]
| vvD♯, ^<sup>5</sup>E♭
|-
| 29
| 111.9
| [[16/15]]
| vD♯, ^<sup>6</sup>E♭
|-
| 30
| 115.76
| [[31/29]], [[77/72]]
| D♯, ^<sup>7</sup>E♭
|-
| 31
| 119.61
| [[15/14]]
| ^D♯, ^<sup>8</sup>E♭
|-
| 32
| 123.47
| [[29/27]]
| ^^D♯, ^<sup>9</sup>E♭
|-
| 33
| 127.33
|  
|  
| ^<sup>3</sup>D♯, ^<sup>10</sup>E♭
|-
| 34
| 131.19
| [[41/38]], [[55/51]]
| ^<sup>4</sup>D♯, ^<sup>11</sup>E♭
|-
| 35
| 135.05
| [[40/37]], [[93/86]]
| ^<sup>5</sup>D♯, ^<sup>12</sup>E♭
|-
| 36
| 138.91
| [[13/12]]
| ^<sup>6</sup>D♯, ^<sup>13</sup>E♭
|-
| 37
| 142.77
| [[38/35]], [[63/58]]
| ^<sup>7</sup>D♯, ^<sup>14</sup>E♭
|-
| 38
| 146.62
| [[37/34]]
| ^<sup>8</sup>D♯, v<sup>15</sup>E
|-
| 39
| 150.48
| [[12/11]]
| ^<sup>9</sup>D♯, v<sup>14</sup>E
|-
| 40
| 154.34
| [[82/75]]
| ^<sup>10</sup>D♯, v<sup>13</sup>E
|-
| 41
| 158.2
|  
|  
| ^<sup>11</sup>D♯, v<sup>12</sup>E
|-
|-
| 42
| [[53edo|17\53]]
| 162.06
|
| [[56/51]]
| 384.906
| ^<sup>12</sup>D♯, v<sup>11</sup>E
|-
| 43
| 165.92
|  
|  
| ^<sup>13</sup>D♯, v<sup>10</sup>E
|-
| 44
| 169.77
| [[32/29]], [[75/68]]
| ^<sup>14</sup>D♯, v<sup>9</sup>E
|-
| 45
| 173.63
| [[21/19]], [[94/85]]
| ^<sup>15</sup>D♯, v<sup>8</sup>E
|-
| 46
| 177.49
| [[41/37]], [[72/65]]
| v<sup>14</sup>D𝄪, v<sup>7</sup>E
|-
| 47
| 181.35
|  
|  
| v<sup>13</sup>D𝄪, v<sup>6</sup>E
|-
| 48
| 185.21
| [[69/62]]
| v<sup>12</sup>D𝄪, v<sup>5</sup>E
|-
| 49
| 189.07
| [[29/26]]
| v<sup>11</sup>D𝄪, v<sup>4</sup>E
|-
| 50
| 192.93
| [[19/17]]
| v<sup>10</sup>D𝄪, v<sup>3</sup>E
|-
| 51
| 196.78
| [[28/25]], [[65/58]]
| v<sup>9</sup>D𝄪, vvE
|-
| 52
| 200.64
| [[64/57]]
| v<sup>8</sup>D𝄪, vE
|-
| 53
| 204.5
| [[9/8]]
| E
|-
| 54
| 208.36
| [[44/39]]
| ^E, ^<sup>8</sup>F♭
|-
| 55
| 212.22
| [[26/23]]
| ^^E, ^<sup>9</sup>F♭
|-
| 56
| 216.08
| [[17/15]]
| ^<sup>3</sup>E, ^<sup>10</sup>F♭
|-
| 57
| 219.94
| [[42/37]], [[92/81]]
| ^<sup>4</sup>E, ^<sup>11</sup>F♭
|-
| 58
| 223.79
| [[33/29]]
| ^<sup>5</sup>E, ^<sup>12</sup>F♭
|-
| 59
| 227.65
| [[65/57]]
| ^<sup>6</sup>E, ^<sup>13</sup>F♭
|-
| 60
| 231.51
| [[8/7]]
| ^<sup>7</sup>E, ^<sup>14</sup>F♭
|-
| 61
| 235.37
| [[55/48]], [[63/55]]
| ^<sup>8</sup>E, v<sup>15</sup>F
|-
| 62
| 239.23
| [[31/27]]
| ^<sup>9</sup>E, v<sup>14</sup>F
|-
| 63
| 243.09
|  
|  
| ^<sup>10</sup>E, v<sup>13</sup>F
|-
| 64
| 246.95
|  
|  
| ^<sup>11</sup>E, v<sup>12</sup>F
|-
| 65
| 250.8
| [[37/32]], [[52/45]]
| ^<sup>12</sup>E, v<sup>11</sup>F
|-
| 66
| 254.66
| [[95/82]]
| ^<sup>13</sup>E, v<sup>10</sup>F
|-
| 67
| 258.52
| [[36/31]], [[65/56]]
| ^<sup>14</sup>E, v<sup>9</sup>F
|-
| 68
| 262.38
| [[57/49]], [[64/55]]
| ^<sup>15</sup>E, v<sup>8</sup>F
|-
| 69
| 266.24
| [[7/6]]
| v<sup>14</sup>E♯, v<sup>7</sup>F
|-
| 70
| 270.1
| [[76/65]], [[90/77]]
| v<sup>13</sup>E♯, v<sup>6</sup>F
|-
| 71
| 273.95
| [[41/35]], [[75/64]]
| v<sup>12</sup>E♯, v<sup>5</sup>F
|-
| 72
| 277.81
| [[27/23]]
| v<sup>11</sup>E♯, v<sup>4</sup>F
|-
| 73
| 281.67
| [[20/17]]
| v<sup>10</sup>E♯, v<sup>3</sup>F
|-
| 74
| 285.53
| [[46/39]]
| v<sup>9</sup>E♯, vvF
|-
| 75
| 289.39
| [[13/11]]
| v<sup>8</sup>E♯, vF
|-
| 76
| 293.25
| [[45/38]], [[77/65]]
| F
|-
| 77
| 297.11
| [[19/16]]
| ^F, ^<sup>8</sup>G♭♭
|-
| 78
| 300.96
| [[69/58]]
| ^^F, ^<sup>9</sup>G♭♭
|-
| 79
| 304.82
| [[31/26]]
| ^<sup>3</sup>F, ^<sup>10</sup>G♭♭
|-
| 80
| 308.68
| [[49/41]], [[92/77]]
| ^<sup>4</sup>F, ^<sup>11</sup>G♭♭
|-
| 81
| 312.54
|  
|  
| ^<sup>5</sup>F, ^<sup>12</sup>G♭♭
|-
| 82
| 316.4
|  
|  
| ^<sup>6</sup>F, ^<sup>13</sup>G♭♭
|-
| 83
| 320.26
| [[77/64]]
| ^<sup>7</sup>F, ^<sup>14</sup>G♭♭
|-
| 84
| 324.12
| [[41/34]], [[76/63]]
| ^<sup>8</sup>F, v<sup>15</sup>G♭
|-
| 85
| 327.97
| [[29/24]]
| ^<sup>9</sup>F, v<sup>14</sup>G♭
|-
| 86
| 331.83
| [[63/52]]
| ^<sup>10</sup>F, v<sup>13</sup>G♭
|-
| 87
| 335.69
| [[17/14]]
| ^<sup>11</sup>F, v<sup>12</sup>G♭
|-
| 88
| 339.55
|  
|  
| ^<sup>12</sup>F, v<sup>11</sup>G♭
|-
| 89
| 343.41
| [[50/41]]
| ^<sup>13</sup>F, v<sup>10</sup>G♭
|-
| 90
| 347.27
| [[11/9]]
| ^<sup>14</sup>F, v<sup>9</sup>G♭
|-
| 91
| 351.13
| [[49/40]], [[60/49]]
| ^<sup>15</sup>F, v<sup>8</sup>G♭
|-
| 92
| 354.98
| [[27/22]]
| v<sup>14</sup>F♯, v<sup>7</sup>G♭
|-
| 93
| 358.84
| [[16/13]]
| v<sup>13</sup>F♯, v<sup>6</sup>G♭
|-
| 94
| 362.7
| [[37/30]]
| v<sup>12</sup>F♯, v<sup>5</sup>G♭
|-
| 95
| 366.56
|  
|  
| v<sup>11</sup>F♯, v<sup>4</sup>G♭
|-
| 96
| 370.42
|  
|  
| v<sup>10</sup>F♯, v<sup>3</sup>G♭
| [[53edo]]
|-
| 97
| 374.28
| [[36/29]]
| v<sup>9</sup>F♯, vvG♭
|-
| 98
| 378.14
| [[51/41]], [[56/45]]
| v<sup>8</sup>F♯, vG♭
|-
| 99
| 381.99
| [[96/77]]
| v<sup>7</sup>F♯, G♭
|-
| 100
| 385.85
| [[5/4]]
| v<sup>6</sup>F♯, ^G♭
|-
| 101
| 389.71
|  
|  
| v<sup>5</sup>F♯, ^^G♭
|-
| 102
| 393.57
| [[64/51]]
| v<sup>4</sup>F♯, ^<sup>3</sup>G♭
|-
| 103
| 397.43
| [[39/31]]
| v<sup>3</sup>F♯, ^<sup>4</sup>G♭
|-
| 104
| 401.29
| [[29/23]]
| vvF♯, ^<sup>5</sup>G♭
|-
| 105
| 405.14
| [[91/72]]
| vF♯, ^<sup>6</sup>G♭
|-
| 106
| 409
| [[19/15]]
| F♯, ^<sup>7</sup>G♭
|-
| 107
| 412.86
| [[33/26]]
| ^F♯, ^<sup>8</sup>G♭
|-
| 108
| 416.72
|  
|  
| ^^F♯, ^<sup>9</sup>G♭
|-
| 109
| 420.58
| [[51/40]], [[65/51]], [[88/69]]
| ^<sup>3</sup>F♯, ^<sup>10</sup>G♭
|-
| 110
| 424.44
| [[23/18]]
| ^<sup>4</sup>F♯, ^<sup>11</sup>G♭
|-
| 111
| 428.3
|  
|  
| ^<sup>5</sup>F♯, ^<sup>12</sup>G♭
|-
|-
| 112
|
| 432.15
| 5/4
| [[77/60]], [[95/74]]
| 386.314
| ^<sup>6</sup>F♯, ^<sup>13</sup>G♭
| {5/4, 7/6}
|-
| 113
| 436.01
|  
|  
| ^<sup>7</sup>F♯, ^<sup>14</sup>G♭
|-
| 114
| 439.87
| [[49/38]], [[58/45]]
| ^<sup>8</sup>F♯, v<sup>15</sup>G
|-
| 115
| 443.73
| [[31/24]], [[84/65]]
| ^<sup>9</sup>F♯, v<sup>14</sup>G
|-
| 116
| 447.59
| [[57/44]]
| ^<sup>10</sup>F♯, v<sup>13</sup>G
|-
| 117
| 451.45
| [[74/57]]
| ^<sup>11</sup>F♯, v<sup>12</sup>G
|-
| 118
| 455.31
|  
|  
| ^<sup>12</sup>F♯, v<sup>11</sup>G
| {5/4, 7/4}
|-
| 119
| 459.16
|  
|  
| ^<sup>13</sup>F♯, v<sup>10</sup>G
|-
| 120
| 463.02
| [[81/62]]
| ^<sup>14</sup>F♯, v<sup>9</sup>G
|-
| 121
| 466.88
| [[55/42]], [[72/55]]
| ^<sup>15</sup>F♯, v<sup>8</sup>G
|-
| 122
| 470.74
| [[21/16]]
| v<sup>14</sup>F𝄪, v<sup>7</sup>G
|-
| 123
| 474.6
| [[25/19]]
| v<sup>13</sup>F𝄪, v<sup>6</sup>G
|-
| 124
| 478.46
| [[29/22]]
| v<sup>12</sup>F𝄪, v<sup>5</sup>G
|-
| 125
| 482.32
| [[37/28]]
| v<sup>11</sup>F𝄪, v<sup>4</sup>G
|-
| 126
| 486.17
| [[49/37]]
| v<sup>10</sup>F𝄪, v<sup>3</sup>G
|-
| 127
| 490.03
| [[69/52]], [[77/58]]
| v<sup>9</sup>F𝄪, vvG
|-
| 128
| 493.89
|  
|  
| v<sup>8</sup>F𝄪, vG
|-
| 129
| 497.75
| [[4/3]]
| G
|-
| 130
| 501.61
|  
|  
| ^G, ^<sup>8</sup>A♭♭
|-
| 131
| 505.47
| [[75/56]]
| ^^G, ^<sup>9</sup>A♭♭
|-
| 132
| 509.32
| [[51/38]]
| ^<sup>3</sup>G, ^<sup>10</sup>A♭♭
|-
| 133
| 513.18
| [[39/29]], [[74/55]]
| ^<sup>4</sup>G, ^<sup>11</sup>A♭♭
|-
| 134
| 517.04
| [[31/23]]
| ^<sup>5</sup>G, ^<sup>12</sup>A♭♭
|-
| 135
| 520.9
| [[50/37]], [[77/57]]
| ^<sup>6</sup>G, ^<sup>13</sup>A♭♭
|-
| 136
| 524.76
| [[65/48]], [[88/65]]
| ^<sup>7</sup>G, ^<sup>14</sup>A♭♭
|-
| 137
| 528.62
| [[19/14]]
| ^<sup>8</sup>G, v<sup>15</sup>A♭
|-
| 138
| 532.48
| [[34/25]]
| ^<sup>9</sup>G, v<sup>14</sup>A♭
|-
| 139
| 536.33
| [[15/11]]
| ^<sup>10</sup>G, v<sup>13</sup>A♭
|-
| 140
| 540.19
| [[41/30]], [[56/41]]
| ^<sup>11</sup>G, v<sup>12</sup>A♭
|-
| 141
| 544.05
| [[63/46]]
| ^<sup>12</sup>G, v<sup>11</sup>A♭
|-
| 142
| 547.91
| [[70/51]]
| ^<sup>13</sup>G, v<sup>10</sup>A♭
|-
| 143
| 551.77
| [[11/8]]
| ^<sup>14</sup>G, v<sup>9</sup>A♭
|-
| 144
| 555.63
| [[51/37]], [[91/66]]
| ^<sup>15</sup>G, v<sup>8</sup>A♭
|-
| 145
| 559.49
| [[76/55]]
| v<sup>14</sup>G♯, v<sup>7</sup>A♭
|-
| 146
| 563.34
| [[18/13]]
| v<sup>13</sup>G♯, v<sup>6</sup>A♭
|-
| 147
| 567.2
| [[68/49]]
| v<sup>12</sup>G♯, v<sup>5</sup>A♭
|-
| 148
| 571.06
| [[57/41]]
| v<sup>11</sup>G♯, v<sup>4</sup>A♭
|-
| 149
| 574.92
| [[46/33]]
| v<sup>10</sup>G♯, v<sup>3</sup>A♭
|-
| 150
| 578.78
| [[81/58]], [[88/63]], [[95/68]]
| v<sup>9</sup>G♯, vvA♭
|-
| 151
| 582.64
| [[7/5]]
| v<sup>8</sup>G♯, vA♭
|-
| 152
| 586.5
| [[80/57]], [[87/62]]
| v<sup>7</sup>G♯, A♭
|-
| 153
| 590.35
| [[45/32]]
| v<sup>6</sup>G♯, ^A♭
|-
| 154
| 594.21
| [[31/22]]
| v<sup>5</sup>G♯, ^^A♭
|-
| 155
| 598.07
| [[65/46]]
| v<sup>4</sup>G♯, ^<sup>3</sup>A♭
|-
| 156
| 601.93
| [[92/65]]
| v<sup>3</sup>G♯, ^<sup>4</sup>A♭
|-
| 157
| 605.79
| [[44/31]]
| vvG♯, ^<sup>5</sup>A♭
|-
| 158
| 609.65
| [[64/45]], [[91/64]]
| vG♯, ^<sup>6</sup>A♭
|-
| 159
| 613.5
| [[57/40]]
| G♯, ^<sup>7</sup>A♭
|-
| 160
| 617.36
| [[10/7]]
| ^G♯, ^<sup>8</sup>A♭
|-
| 161
| 621.22
| [[63/44]]
| ^^G♯, ^<sup>9</sup>A♭
|-
| 162
| 625.08
| [[33/23]]
| ^<sup>3</sup>G♯, ^<sup>10</sup>A♭
|-
| 163
| 628.94
| [[82/57]]
| ^<sup>4</sup>G♯, ^<sup>11</sup>A♭
|-
| 164
| 632.8
| [[49/34]]
| ^<sup>5</sup>G♯, ^<sup>12</sup>A♭
|-
| 165
| 636.66
| [[13/9]]
| ^<sup>6</sup>G♯, ^<sup>13</sup>A♭
|-
| 166
| 640.51
| [[55/38]]
| ^<sup>7</sup>G♯, ^<sup>14</sup>A♭
|-
| 167
| 644.37
| [[74/51]]
| ^<sup>8</sup>G♯, v<sup>15</sup>A
|-
| 168
| 648.23
| [[16/11]]
| ^<sup>9</sup>G♯, v<sup>14</sup>A
|-
| 169
| 652.09
| [[51/35]]
| ^<sup>10</sup>G♯, v<sup>13</sup>A
|-
| 170
| 655.95
| [[92/63]]
| ^<sup>11</sup>G♯, v<sup>12</sup>A
|-
| 171
| 659.81
| [[41/28]], [[60/41]]
| ^<sup>12</sup>G♯, v<sup>11</sup>A
|-
| 172
| 663.67
| [[22/15]], [[91/62]]
| ^<sup>13</sup>G♯, v<sup>10</sup>A
|-
| 173
| 667.52
| [[25/17]]
| ^<sup>14</sup>G♯, v<sup>9</sup>A
|-
| 174
| 671.38
| [[28/19]]
| ^<sup>15</sup>G♯, v<sup>8</sup>A
|-
| 175
| 675.24
| [[65/44]], [[96/65]]
| v<sup>14</sup>G𝄪, v<sup>7</sup>A
|-
| 176
| 679.1
| [[37/25]], [[77/52]]
| v<sup>13</sup>G𝄪, v<sup>6</sup>A
|-
| 177
| 682.96
| [[46/31]]
| v<sup>12</sup>G𝄪, v<sup>5</sup>A
|-
| 178
| 686.82
| [[55/37]], [[58/39]]
| v<sup>11</sup>G𝄪, v<sup>4</sup>A
|-
| 179
| 690.68
| [[76/51]]
| v<sup>10</sup>G𝄪, v<sup>3</sup>A
|-
| 180
| 694.53
|  
|  
| v<sup>9</sup>G𝄪, vvA
|-
| 181
| 698.39
|  
|  
| v<sup>8</sup>G𝄪, vA
|-
| 182
| 702.25
| [[3/2]]
| A
|-
| 183
| 706.11
|  
|  
| ^A, ^<sup>8</sup>B♭♭
| {3/2, 5/4}
|-
| 184
| 709.97
|  
|  
| ^^A, ^<sup>9</sup>B♭♭
|-
| 185
| 713.83
| [[74/49]], [[77/51]]
| ^<sup>3</sup>A, ^<sup>10</sup>B♭♭
|-
| 186
| 717.68
| [[56/37]]
| ^<sup>4</sup>A, ^<sup>11</sup>B♭♭
|-
| 187
| 721.54
| [[44/29]], [[91/60]]
| ^<sup>5</sup>A, ^<sup>12</sup>B♭♭
|-
| 188
| 725.4
| [[38/25]]
| ^<sup>6</sup>A, ^<sup>13</sup>B♭♭
|-
| 189
| 729.26
| [[32/21]]
| ^<sup>7</sup>A, ^<sup>14</sup>B♭♭
|-
| 190
| 733.12
| [[55/36]], [[84/55]]
| ^<sup>8</sup>A, v<sup>15</sup>B♭
|-
| 191
| 736.98
| [[75/49]]
| ^<sup>9</sup>A, v<sup>14</sup>B♭
|-
| 192
| 740.84
|  
|  
| ^<sup>10</sup>A, v<sup>13</sup>B♭
|-
|-
| 193
| [[31edo|10\31]]
| 744.69
|
| 387.097
|  
|  
| ^<sup>11</sup>A, v<sup>12</sup>B♭
|-
| 194
| 748.55
| [[57/37]]
| ^<sup>12</sup>A, v<sup>11</sup>B♭
|-
| 195
| 752.41
| [[88/57]]
| ^<sup>13</sup>A, v<sup>10</sup>B♭
|-
| 196
| 756.27
| [[48/31]], [[65/42]]
| ^<sup>14</sup>A, v<sup>9</sup>B♭
|-
| 197
| 760.13
| [[45/29]], [[76/49]]
| ^<sup>15</sup>A, v<sup>8</sup>B♭
|-
| 198
| 763.99
|  
|  
| v<sup>14</sup>A♯, v<sup>7</sup>B♭
| [[31edo]]
|-
| 199
| 767.85
| [[81/52]]
| v<sup>13</sup>A♯, v<sup>6</sup>B♭
|-
| 200
| 771.7
|  
|  
| v<sup>12</sup>A♯, v<sup>5</sup>B♭
|-
| 201
| 775.56
| [[36/23]]
| v<sup>11</sup>A♯, v<sup>4</sup>B♭
|-
| 202
| 779.42
| [[69/44]], [[80/51]], [[91/58]]
| v<sup>10</sup>A♯, v<sup>3</sup>B♭
|-
| 203
| 783.28
|  
|  
| v<sup>9</sup>A♯, vvB♭
|-
| 204
| 787.14
| [[52/33]]
| v<sup>8</sup>A♯, vB♭
|-
| 205
| 791
| [[30/19]]
| v<sup>7</sup>A♯, B♭
|-
| 206
| 794.86
|  
|  
| v<sup>6</sup>A♯, ^B♭
|-
| 207
| 798.71
| [[46/29]]
| v<sup>5</sup>A♯, ^^B♭
|-
| 208
| 802.57
| [[62/39]]
| v<sup>4</sup>A♯, ^<sup>3</sup>B♭
|-
| 209
| 806.43
| [[51/32]]
| v<sup>3</sup>A♯, ^<sup>4</sup>B♭
|-
| 210
| 810.29
| [[91/57]]
| vvA♯, ^<sup>5</sup>B♭
|-
| 211
| 814.15
| [[8/5]]
| vA♯, ^<sup>6</sup>B♭
|-
| 212
| 818.01
| [[77/48]], [[93/58]]
| A♯, ^<sup>7</sup>B♭
|-
| 213
| 821.86
| [[45/28]], [[82/51]]
| ^A♯, ^<sup>8</sup>B♭
|-
| 214
| 825.72
| [[29/18]]
| ^^A♯, ^<sup>9</sup>B♭
|-
| 215
| 829.58
|  
|  
| ^<sup>3</sup>A♯, ^<sup>10</sup>B♭
|-
| 216
| 833.44
|  
|  
| ^<sup>4</sup>A♯, ^<sup>11</sup>B♭
|-
| 217
| 837.3
| [[60/37]]
| ^<sup>5</sup>A♯, ^<sup>12</sup>B♭
|-
| 218
| 841.16
| [[13/8]]
| ^<sup>6</sup>A♯, ^<sup>13</sup>B♭
|-
| 219
| 845.02
| [[44/27]]
| ^<sup>7</sup>A♯, ^<sup>14</sup>B♭
|-
| 220
| 848.87
| [[49/30]], [[80/49]]
| ^<sup>8</sup>A♯, v<sup>15</sup>B
|-
| 221
| 852.73
| [[18/11]]
| ^<sup>9</sup>A♯, v<sup>14</sup>B
|-
| 222
| 856.59
| [[41/25]]
| ^<sup>10</sup>A♯, v<sup>13</sup>B
|-
| 223
| 860.45
|  
|  
| ^<sup>11</sup>A♯, v<sup>12</sup>B
|-
| 224
| 864.31
| [[28/17]]
| ^<sup>12</sup>A♯, v<sup>11</sup>B
|-
| 225
| 868.17
|  
|  
| ^<sup>13</sup>A♯, v<sup>10</sup>B
|-
| 226
| 872.03
| [[48/29]], [[91/55]]
| ^<sup>14</sup>A♯, v<sup>9</sup>B
|-
| 227
| 875.88
| [[63/38]], [[68/41]]
| ^<sup>15</sup>A♯, v<sup>8</sup>B
|-
| 228
| 879.74
|  
|  
| v<sup>14</sup>A𝄪, v<sup>7</sup>B
|-
| 229
| 883.6
|  
|  
| v<sup>13</sup>A𝄪, v<sup>6</sup>B
|-
| 230
| 887.46
|  
|  
| v<sup>12</sup>A𝄪, v<sup>5</sup>B
|-
|-
| 231
| [[12edo|4\12]]
| 891.32
|
| [[77/46]], [[82/49]], [[87/52]]
| 400.000
| v<sup>11</sup>A𝄪, v<sup>4</sup>B
|-
| 232
| 895.18
| [[52/31]]
| v<sup>10</sup>A𝄪, v<sup>3</sup>B
|-
| 233
| 899.04
|  
|  
| v<sup>9</sup>A𝄪, vvB
|-
| 234
| 902.89
| [[32/19]], [[91/54]]
| v<sup>8</sup>A𝄪, vB
|-
| 235
| 906.75
| [[76/45]]
| B
|-
| 236
| 910.61
| [[22/13]]
| ^B, ^<sup>8</sup>C♭
|-
| 237
| 914.47
| [[39/23]], [[95/56]]
| ^^B, ^<sup>9</sup>C♭
|-
| 238
| 918.33
| [[17/10]]
| ^<sup>3</sup>B, ^<sup>10</sup>C♭
|-
| 239
| 922.19
| [[46/27]]
| ^<sup>4</sup>B, ^<sup>11</sup>C♭
|-
| 240
| 926.05
| [[70/41]]
| ^<sup>5</sup>B, ^<sup>12</sup>C♭
|-
| 241
| 929.9
| [[65/38]], [[77/45]]
| ^<sup>6</sup>B, ^<sup>13</sup>C♭
|-
| 242
| 933.76
| [[12/7]]
| ^<sup>7</sup>B, ^<sup>14</sup>C♭
|-
| 243
| 937.62
| [[55/32]]
| ^<sup>8</sup>B, v<sup>15</sup>C
|-
| 244
| 941.48
| [[31/18]]
| ^<sup>9</sup>B, v<sup>14</sup>C
|-
| 245
| 945.34
|  
|  
| ^<sup>10</sup>B, v<sup>13</sup>C
|-
| 246
| 949.2
| [[45/26]], [[64/37]]
| ^<sup>11</sup>B, v<sup>12</sup>C
|-
| 247
| 953.05
| [[85/49]]
| ^<sup>12</sup>B, v<sup>11</sup>C
|-
| 248
| 956.91
|  
|  
| ^<sup>13</sup>B, v<sup>10</sup>C
|-
| 249
| 960.77
| [[54/31]]
| ^<sup>14</sup>B, v<sup>9</sup>C
|-
| 250
| 964.63
| [[96/55]]
| ^<sup>15</sup>B, v<sup>8</sup>C
|-
| 251
| 968.49
| [[7/4]]
| v<sup>14</sup>B♯, v<sup>7</sup>C
|-
| 252
| 972.35
|  
|  
| v<sup>13</sup>B♯, v<sup>6</sup>C
|-
| 253
| 976.21
| [[58/33]]
| v<sup>12</sup>B♯, v<sup>5</sup>C
|-
| 254
| 980.06
| [[37/21]], [[81/46]]
| v<sup>11</sup>B♯, v<sup>4</sup>C
|-
| 255
| 983.92
| [[30/17]]
| v<sup>10</sup>B♯, v<sup>3</sup>C
|-
| 256
| 987.78
| [[23/13]]
| v<sup>9</sup>B♯, vvC
|-
| 257
| 991.64
| [[39/22]]
| v<sup>8</sup>B♯, vC
|-
| 258
| 995.5
| [[16/9]]
| C
|-
| 259
| 999.36
| [[57/32]]
| ^C, ^<sup>8</sup>D♭♭
|-
| 260
| 1003.22
| [[25/14]]
| ^^C, ^<sup>9</sup>D♭♭
|-
| 261
| 1007.07
| [[34/19]], [[93/52]]
| ^<sup>3</sup>C, ^<sup>10</sup>D♭♭
|-
| 262
| 1010.93
| [[52/29]]
| ^<sup>4</sup>C, ^<sup>11</sup>D♭♭
|-
| 263
| 1014.79
|  
|  
| ^<sup>5</sup>C, ^<sup>12</sup>D♭♭
| [[12edo]]
|-
| 264
| 1018.65
|  
|  
| ^<sup>6</sup>C, ^<sup>13</sup>D♭♭
|-
| 265
| 1022.51
| [[65/36]], [[74/41]]
| ^<sup>7</sup>C, ^<sup>14</sup>D♭♭
|-
| 266
| 1026.37
| [[38/21]], [[85/47]]
| ^<sup>8</sup>C, v<sup>15</sup>D♭
|-
| 267
| 1030.23
| [[29/16]]
| ^<sup>9</sup>C, v<sup>14</sup>D♭
|-
| 268
| 1034.08
|  
|  
| ^<sup>10</sup>C, v<sup>13</sup>D♭
|-
| 269
| 1037.94
| [[51/28]]
| ^<sup>11</sup>C, v<sup>12</sup>D♭
|-
| 270
| 1041.8
|  
|  
| ^<sup>12</sup>C, v<sup>11</sup>D♭
|-
| 271
| 1045.66
| [[75/41]]
| ^<sup>13</sup>C, v<sup>10</sup>D♭
|-
| 272
| 1049.52
| [[11/6]]
| ^<sup>14</sup>C, v<sup>9</sup>D♭
|-
| 273
| 1053.38
| [[68/37]]
| ^<sup>15</sup>C, v<sup>8</sup>D♭
|-
| 274
| 1057.23
| [[35/19]]
| v<sup>14</sup>C♯, v<sup>7</sup>D♭
|-
| 275
| 1061.09
| [[24/13]]
| v<sup>13</sup>C♯, v<sup>6</sup>D♭
|-
| 276
| 1064.95
| [[37/20]]
| v<sup>12</sup>C♯, v<sup>5</sup>D♭
|-
| 277
| 1068.81
| [[76/41]]
| v<sup>11</sup>C♯, v<sup>4</sup>D♭
|-
| 278
| 1072.67
|  
|  
| v<sup>10</sup>C♯, v<sup>3</sup>D♭
|-
| 279
| 1076.53
| [[54/29]], [[95/51]]
| v<sup>9</sup>C♯, vvD♭
|-
| 280
| 1080.39
| [[28/15]]
| v<sup>8</sup>C♯, vD♭
|-
| 281
| 1084.24
| [[58/31]]
| v<sup>7</sup>C♯, D♭
|-
| 282
| 1088.1
| [[15/8]]
| v<sup>6</sup>C♯, ^D♭
|-
| 283
| 1091.96
| [[62/33]]
| v<sup>5</sup>C♯, ^^D♭
|-
| 284
| 1095.82
| [[81/43]]
| v<sup>4</sup>C♯, ^<sup>3</sup>D♭
|-
| 285
| 1099.68
|  
|  
| v<sup>3</sup>C♯, ^<sup>4</sup>D♭
|-
| 286
| 1103.54
| [[70/37]], [[87/46]]
| vvC♯, ^<sup>5</sup>D♭
|-
| 287
| 1107.4
| [[55/29]], [[91/48]]
| vC♯, ^<sup>6</sup>D♭
|-
| 288
| 1111.25
| [[19/10]]
| C♯, ^<sup>7</sup>D♭
|-
| 289
| 1115.11
| [[40/21]]
| ^C♯, ^<sup>8</sup>D♭
|-
| 290
| 1118.97
| [[21/11]]
| ^^C♯, ^<sup>9</sup>D♭
|-
| 291
| 1122.83
| [[44/23]]
| ^<sup>3</sup>C♯, ^<sup>10</sup>D♭
|-
| 292
| 1126.69
| [[23/12]]
| ^<sup>4</sup>C♯, ^<sup>11</sup>D♭
|-
| 293
| 1130.55
|  
|  
| ^<sup>5</sup>C♯, ^<sup>12</sup>D♭
|-
| 294
| 1134.41
| [[52/27]], [[77/40]]
| ^<sup>6</sup>C♯, ^<sup>13</sup>D♭
|-
| 295
| 1138.26
|  
|  
| ^<sup>7</sup>C♯, ^<sup>14</sup>D♭
|}
 
11-odd-limit adds 12/11, 11/10, 11/9, 14/11, 11/8
 
15-odd-limit: 16/15, 15/14, 15/11
 
21-odd-limit: 22/21, 21/20, 21/16
 
== Stuff ==
=== Orwell as 9-form ===
(Note that 13/10 and 20/13 are mapped via tridecimal orwell)
 
{| class="wikitable center-all"
! Degree
! 0-step
! 1-step
! 2-step
! 3-step
! 4-step
! 5-step
! 6-step
! 7-step
! 8-step
! 9-step
|-
|-
| 296
! Cents
| 1142.12
| 43
| 200
| 314
| 471
| 586
| 743
| 857
| 1014
| 1129
|  
|  
| ^<sup>8</sup>C♯, v<sup>15</sup>D
|-
|-
| 297
! Ratios
| 1145.98
| style="background-color: white;" | 36/35~33/32
| [[95/49]]
| style="background-color: white;" | 9/8
| ^<sup>9</sup>C♯, v<sup>14</sup>D
| style="background-color: white;" | 6/5
| style="background-color: white;" | 21/16
| style="background-color: white;" | 7/5
| style="background-color: white;" | (20/13)
| style="background-color: white;" | 18/11
| style="background-color: white;" | 9/5
| style="background-color: white;" | 27/14~48/25
| style="background-color: white;" |
|-
|-
| 298
! Cents
| 1149.84
| 0
| [[68/35]]
| 157
| ^<sup>10</sup>C♯, v<sup>13</sup>D
| 271
| 429
| 543
| 700
| 814
| 971
| 1086
|  
|-
|-
| 299
! Ratios
| 1153.7
| style="background-color: white;" | 1/1
| [[37/19]]
| style="background-color: white;" | 11/10~12/11
| ^<sup>11</sup>C♯, v<sup>12</sup>D
| style="background-color: white;" | 7/6
| style="background-color: white;" | 9/7~14/11
| style="background-color: white;" | 11/8~15/11
| style="background-color: white;" | 3/2
| style="background-color: white;" | 8/5
| style="background-color: white;" | 7/4
| style="background-color: white;" | 15/8~28/15
| style="background-color: white;" |
|-
|-
| 300
! Cents
| 1157.56
| [[80/41]]
| ^<sup>12</sup>C♯, v<sup>11</sup>D
|-
| 301
| 1161.41
| [[45/23]], [[88/45]]
| ^<sup>13</sup>C♯, v<sup>10</sup>D
|-
| 302
| 1165.27
| [[49/25]]
| ^<sup>14</sup>C♯, v<sup>9</sup>D
|-
| 303
| 1169.13
| [[55/28]]
| ^<sup>15</sup>C♯, v<sup>8</sup>D
|-
| 304
| 1172.99
| [[63/32]], [[65/33]]
| v<sup>14</sup>C𝄪, v<sup>7</sup>D
|-
| 305
| 1176.85
| [[75/38]]
| v<sup>13</sup>C𝄪, v<sup>6</sup>D
|-
| 306
| 1180.71
| [[87/44]], [[91/46]]
| v<sup>12</sup>C𝄪, v<sup>5</sup>D
|-
| 307
| 1184.57
|  
|  
| v<sup>11</sup>C𝄪, v<sup>4</sup>D
| 114
| 229
| 386
| 500
| 657
| 771
| 929
| 1043
| 1200
|-
|-
| 308
! Ratios
| 1188.42
| style="background-color: white;" |  
|  
| style="background-color: white;" | 15/14~16/15
| v<sup>10</sup>C𝄪, v<sup>3</sup>D
| style="background-color: white;" | 8/7
| style="background-color: white;" | 5/4
| style="background-color: white;" | 4/3
| style="background-color: white;" | 16/11~22/15
| style="background-color: white;" | 11/7~14/9
| style="background-color: white;" | 12/7
| style="background-color: white;" | 11/6~20/11
| style="background-color: white;" | 2/1
|-
|-
| 309
! Cents
| 1192.28
|  
|  
| v<sup>9</sup>C𝄪, vvD
| 71
| 186
| 343
| 457
| 614
| 729
| 886
| 1000
| 1157
|-
|-
| 310
! Ratios
| 1196.14
| style="background-color: white;" |  
|  
| style="background-color: white;" | 25/24~28/27
| v<sup>8</sup>C𝄪, vD
| style="background-color: white;" | 10/9
|-
| style="background-color: white;" | 11/9
| 311
| style="background-color: white;" | (13/10)
| 1200
| style="background-color: white;" | 10/7
| [[2/1]]
| style="background-color: white;" | 32/21
| D
| style="background-color: white;" | 5/3
| style="background-color: white;" | 16/9
| style="background-color: white;" | 35/18~64/33
|}
|}
== EDO testing ==
{{Infobox ET|71083ed31|debug=1|Consistency=56|Distinct consistency=56}}
--[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 04:41, 29 September 2025 (UTC)
{{MOS tuning spectrum|Scale Signature = 5L 2s|depth=3}}
== Miscellaneous ==
<blockquote>~
~~
[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]])
[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 22:00, 22 November 2025 (UTC)
22:00, 22 November 2025 (UTC)
22:00, 22 November 2025 (UTC)~</blockquote>

Latest revision as of 01:49, 24 May 2026

Interval information
Factorization 2-702 × 3400 × 7-99 × 11100
Monzo [-702 400 0 -99 100⟩
Size in cents 0.02984219¢
Name(s) missing ? 
Special properties reduced
Tenney norm (log2 nd) 1959.86
Weil norm (log2 max(n, d)) 1959.86
Wilson norm (sopfr(nd)) 4397

Audio demonstration

Open this interval in xen-calc

The difference between 100 896/891's and 7/4

Rank-3 tuning spectrum

9-odd-limit: 1/1, 10/9, 9/8, 8/7, 7/6, 6/5, 5/4, 9/7, 4/3, 7/5, and complements

Single tunings fully defined by eigenmonzos (+ the octave):

{10/9, 9/8, 6/5, 5/4, 4/3}, {10/9, 8/7}, {10/9, 7/6}, {10/9, 9/7, 7/5}, {9/8, 8/7, 7/6, 9/7, 4/3}, {9/8, 4/3, 7/5}, {8/7, 6/5}, {8/7, 5/4, 7/5}, {7/6, 6/5, 7/5}, {7/6, 5/4}, {6/5, 9/7}, {5/4, 9/7}

Marvel

{10/9, 9/8, 6/5, 5/4, 4/3}:

~3/2: 701.955 ¢, ~5/4: 386.314 ¢

{10/9, 8/7}:

~3/2: 700.670 ¢, ~5/4: 383.743 ¢

{10/9, 7/6}:

~3/2: 700.413 ¢, ~5/4: 383.229  ¢

{10/9, 9/7, 7/5}:

~3/2: 700.027 ¢, ~5/4: 382.458 ¢

{9/8, 8/7, 7/6, 9/7, 4/3}:

~3/2: 701.955 ¢, ~5/4: 382.458 ¢

{9/8, 4/3, 7/5}:

~3/2: 701.955 ¢, ~5/4: 378.602 ¢

{8/7, 6/5}:

~3/2: 700.027 ¢, ~5/4: 384.386 ¢

{8/7, 5/4, 7/5}:

~3/2: 698.099 ¢, ~5/4: 386.314 ¢

{7/6, 6/5, 7/5}:

~3/2: 699.384 ¢, ~5/4: 383.743 ¢

{7/6, 5/4}:

~3/2: 694.243 ¢, ~5/4: 386.314 ¢

{6/5, 9/7}:

~3/2: 698.099 ¢, ~5/4: 382.458 ¢

{5/4, 9/7} (impossible)

Additional eigenmonzo tunings up to 21-odd-limit (new intervals: 21/20, 16/15, 15/14, 21/16)

{21/20, 16/15}

{21/20, 5/4}

{21/20, 9/7}

{16/15, 8/7} (impossible)

{16/15, 7/6}

{16/15, 9/7}

{16/15, 7/5}

{15/14, Incomplete

Gene-
rator 		~3/2
~5/4 EDO tuning 11\19 18\31 7\12 31\53 24\41 1\22
(↓↓↓) Eigenmonzo 112/75 25/14 25/21 63/50 189/100 567/400 3/2
(↓↓↓) Size (¢) 694.243 694.737 696.774 698.099 699.384 700.000 700.027 700.413 700.670 701.887 701.955 702.439 709.091
56/45 378.692 {3/2, 7/5}
6\19 378.947 19edo
13\41 380.488 41edo
7\22 381.818 22edo
9/7 382.458 {5/3, 9/7} {7/5, 9/5} {3/2, 7/4}
245/162 383.229 {7/6, 9/5}
23\72 383.333 72edo
36/35 383.743 {5/3, 7/6} {7/4, 9/5}
175/144 384.386 {5/3, 7/4}
17\53 384.906 53edo
5/4 386.314 {5/4, 7/6} {5/4, 7/4} {3/2, 5/4}
10\31 387.097 31edo
4\12 400.000 12edo

11-odd-limit adds 12/11, 11/10, 11/9, 14/11, 11/8

15-odd-limit: 16/15, 15/14, 15/11

21-odd-limit: 22/21, 21/20, 21/16

Stuff

Orwell as 9-form

(Note that 13/10 and 20/13 are mapped via tridecimal orwell)

Degree 0-step 1-step 2-step 3-step 4-step 5-step 6-step 7-step 8-step 9-step
Cents 43 200 314 471 586 743 857 1014 1129
Ratios 36/35~33/32 9/8 6/5 21/16 7/5 (20/13) 18/11 9/5 27/14~48/25
Cents 0 157 271 429 543 700 814 971 1086
Ratios 1/1 11/10~12/11 7/6 9/7~14/11 11/8~15/11 3/2 8/5 7/4 15/8~28/15
Cents 114 229 386 500 657 771 929 1043 1200
Ratios 15/14~16/15 8/7 5/4 4/3 16/11~22/15 11/7~14/9 12/7 11/6~20/11 2/1
Cents 71 186 343 457 614 729 886 1000 1157
Ratios 25/24~28/27 10/9 11/9 (13/10) 10/7 32/21 5/3 16/9 35/18~64/33
Retrieved from "https://en.xen.wiki/index.php?title=User:Overthink/Sandbox&oldid=230810"