28edo: Difference between revisions

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{| class="wikitable"
{| class="wikitable"
|-
|-
| style="text-align:center;" | Step #
| rowspan="2" style="text-align:center;" | Step #
| style="text-align:center;" | ET Cents
| colspan="3" style="text-align:center;" | ET
| style="text-align:center;" | Just Interval
| colspan="4" style="text-align:center;" | Just  
| style="text-align:center;" | Just Cents
| style="text-align:center;" | Difference
| style="text-align:center;" | Difference


(ET minus Just)
(ET minus Just)
| colspan="3" style="text-align:center;" | [[Ups_and_Downs_Notation|Up/down ]][[Ups_and_Downs_Notation|Notation]]
| colspan="3" style="text-align:center;" | [[Ups_and_Downs_Notation|Up/down]] [[Ups_and_Downs_Notation|Notation]]
|-
|Cents
|pions
|7mus
|Interval
|Cents
|pions
|7mus
|
|
|
|
|-
|-
| style="text-align:center;" | 0
| style="text-align:center;" | 0
| style="text-align:center;" | 0¢
| style="text-align:center;" | 0¢
|0π<sup>¢</sup>
|0
| style="text-align:center;" |  
| style="text-align:center;" |  
| style="text-align:center;" |  
| style="text-align:center;" |  
|
|
| style="text-align:center;" |  
| style="text-align:center;" |  
| style="text-align:center;" | unison
| style="text-align:center;" | unison
Line 35: Line 50:
| style="text-align:center;" | 1
| style="text-align:center;" | 1
| style="text-align:center;" | 42.86
| style="text-align:center;" | 42.86
|45.43
|54.86 (36.DC<sub>16</sub>)
| style="text-align:center;" |  
| style="text-align:center;" |  
| style="text-align:center;" |  
| style="text-align:center;" |  
|
|
| style="text-align:center;" |  
| style="text-align:center;" |  
| style="text-align:center;" | up-unison
| style="text-align:center;" | up-unison
Line 44: Line 63:
| style="text-align:center;" | 2
| style="text-align:center;" | 2
| style="text-align:center;" | 85.71
| style="text-align:center;" | 85.71
|90.86
|109.71 (6D.B7<sub>16</sub>)
| style="text-align:center;" | 21:20
| style="text-align:center;" | 21:20
| style="text-align:center;" | 84.47
| style="text-align:center;" | 84.47
|89.535
|108.12 (6C.1E<sub>16</sub>)
| style="text-align:center;" | 1.24
| style="text-align:center;" | 1.24
| style="text-align:center;" | double-up, double-down
| style="text-align:center;" | double-up, double-down
Line 53: Line 76:
| style="text-align:center;" | 3
| style="text-align:center;" | 3
| style="text-align:center;" | 128.57
| style="text-align:center;" | 128.57
|136.29
|164.57 (A4.92<sub>16</sub>)
| style="text-align:center;" | 14:13
| style="text-align:center;" | 14:13
| style="text-align:center;" | 128.30
| style="text-align:center;" | 128.3
|136
|164.22 (A4.38<sub>16</sub>)
| style="text-align:center;" | 0.27
| style="text-align:center;" | 0.27
| style="text-align:center;" | down 2nd
| style="text-align:center;" | down 2nd
Line 62: Line 89:
| style="text-align:center;" | 4
| style="text-align:center;" | 4
| style="text-align:center;" | 171.43
| style="text-align:center;" | 171.43
|181.71
|219.43 (DB.6E<sub>16</sub>)
| style="text-align:center;" | 11:10
| style="text-align:center;" | 11:10
| style="text-align:center;" | 165.00
| style="text-align:center;" | 165
|174.9
|211.205 (D3.35<sub>16</sub>)
| style="text-align:center;" | 6.43
| style="text-align:center;" | 6.43
| style="text-align:center;" | 2nd
| style="text-align:center;" | 2nd
Line 71: Line 102:
| style="text-align:center;" | 5
| style="text-align:center;" | 5
| style="text-align:center;" | 214.29
| style="text-align:center;" | 214.29
|227.14
|274.27 (112.49<sub>16</sub>)
| style="text-align:center;" | 17:15
| style="text-align:center;" | 17:15
| style="text-align:center;" | 216.69
| style="text-align:center;" | 216.69
|229.69
|277.36 (115.5C<sub>16</sub>)
| style="text-align:center;" | -2.40
| style="text-align:center;" | -2.40
| style="text-align:center;" | up 2nd
| style="text-align:center;" | up 2nd
Line 80: Line 115:
| style="text-align:center;" | 6
| style="text-align:center;" | 6
| style="text-align:center;" | 257.14
| style="text-align:center;" | 257.14
|272.57
|329.14 (149.25<sub>16</sub>)
| style="text-align:center;" | 7:6
| style="text-align:center;" | 7:6
| style="text-align:center;" | 266.87
| style="text-align:center;" | 266.87
|282.88
|341.595 (155.98<sub>16</sub>)
| style="text-align:center;" | -9.73
| style="text-align:center;" | -9.73
| style="text-align:center;" | double-up 2nd, double-down 3rd
| style="text-align:center;" | double-up 2nd, double-down 3rd
Line 89: Line 128:
| style="text-align:center;" | 7
| style="text-align:center;" | 7
| style="text-align:center;" | 300
| style="text-align:center;" | 300
|318
|384 (180<sub>16</sub>)
| style="text-align:center;" | 6:5
| style="text-align:center;" | 6:5
| style="text-align:center;" | 315.64
| style="text-align:center;" | 315.64
|334.58
|404.02 (194.05<sub>16</sub>)
| style="text-align:center;" | -15.64
| style="text-align:center;" | -15.64
| style="text-align:center;" | down 3rd
| style="text-align:center;" | down 3rd
Line 98: Line 141:
| style="text-align:center;" | 8
| style="text-align:center;" | 8
| style="text-align:center;" | 342.86
| style="text-align:center;" | 342.86
|363.43
|438.86 (1B6.DC<sub>16</sub>)
| style="text-align:center;" | 11:9
| style="text-align:center;" | 11:9
| style="text-align:center;" | 347.41
| style="text-align:center;" | 347.41
|368.25
|444.68 (1BC.AF<sub>16</sub>)
| style="text-align:center;" | -4.55
| style="text-align:center;" | -4.55
| style="text-align:center;" | 3rd
| style="text-align:center;" | 3rd
Line 107: Line 154:
| style="text-align:center;" | 9
| style="text-align:center;" | 9
| style="text-align:center;" | 385.71
| style="text-align:center;" | 385.71
|408.86
|493.71 (1ED.B7<sub>16</sub>)
| style="text-align:center;" | 5:4
| style="text-align:center;" | 5:4
| style="text-align:center;" | 386.31
| style="text-align:center;" | 386.31
|409.49
|494.48 (1EE.7B<sub>16</sub>)
| style="text-align:center;" | -0.60
| style="text-align:center;" | -0.60
| style="text-align:center;" | up 3rd
| style="text-align:center;" | up 3rd
Line 116: Line 167:
| style="text-align:center;" | 10
| style="text-align:center;" | 10
| style="text-align:center;" | 428.57
| style="text-align:center;" | 428.57
|454.29
|548.57 (224.92<sub>16</sub>)
| style="text-align:center;" | 9:7
| style="text-align:center;" | 9:7
| style="text-align:center;" | 435.08
| style="text-align:center;" | 435.08
|461.19
|556.91 (22A.E8<sub>16</sub>)
| style="text-align:center;" | -6.51
| style="text-align:center;" | -6.51
| style="text-align:center;" | double-up 3rd, double-down 4th
| style="text-align:center;" | double-up 3rd, double-down 4th
Line 125: Line 180:
| style="text-align:center;" | 11
| style="text-align:center;" | 11
| style="text-align:center;" | 471.43
| style="text-align:center;" | 471.43
|499.71
|603.43 (26B.6E<sub>16</sub>)
| style="text-align:center;" | 21:16
| style="text-align:center;" | 21:16
| style="text-align:center;" | 470.78
| style="text-align:center;" | 470.78
|499.03
|602.6 (25A.99<sub>16</sub>)
| style="text-align:center;" | 0.65
| style="text-align:center;" | 0.65
| style="text-align:center;" | down 4th
| style="text-align:center;" | down 4th
Line 134: Line 193:
| style="text-align:center;" | 12
| style="text-align:center;" | 12
| style="text-align:center;" | 514.29
| style="text-align:center;" | 514.29
|545.14
|658.29 (292.49<sub>16</sub>)
| style="text-align:center;" | 4:3
| style="text-align:center;" | 4:3
| style="text-align:center;" | 498.04
| style="text-align:center;" | 498.045
| style="text-align:center;" | 16.25
|527.93
|637.5 (27D.7F<sub>16</sub>)
| style="text-align:center;" | 16.245
| style="text-align:center;" | 4th
| style="text-align:center;" | 4th
| style="text-align:center;" | 4
| style="text-align:center;" | 4
Line 143: Line 206:
| style="text-align:center;" | 13
| style="text-align:center;" | 13
| style="text-align:center;" | 557.14
| style="text-align:center;" | 557.14
|590.57
|713.14 (2C9.25<sub>16</sub>)
| style="text-align:center;" | 11:8
| style="text-align:center;" | 11:8
| style="text-align:center;" | 551.32
| style="text-align:center;" | 551.32
|584.4
|705.69 (2C1.B<sub>16</sub>)
| style="text-align:center;" | 5.82
| style="text-align:center;" | 5.82
| style="text-align:center;" | up 4th
| style="text-align:center;" | up 4th
Line 152: Line 219:
| style="text-align:center;" | 14
| style="text-align:center;" | 14
| style="text-align:center;" | 600
| style="text-align:center;" | 600
|636
|768 (300<sub>16</sub>)
| style="text-align:center;" | 7:5
| style="text-align:center;" | 7:5
| style="text-align:center;" | 582.51
| style="text-align:center;" | 582.51
|617.46
|745.62 (2E9.9E<sub>16</sub>)
| style="text-align:center;" | 17.49
| style="text-align:center;" | 17.49
| style="text-align:center;" | double-up 4th, double-down 5th
| style="text-align:center;" | double-up 4th, double-down 5th
Line 161: Line 232:
| style="text-align:center;" | 15
| style="text-align:center;" | 15
| style="text-align:center;" | 642.86
| style="text-align:center;" | 642.86
|681.43
|822.86 (336.DC<sub>16</sub>)
| style="text-align:center;" | 16:11
| style="text-align:center;" | 16:11
| style="text-align:center;" | 648.68
| style="text-align:center;" | 648.68
|687.6
|830.31 (33E.5<sub>16</sub>)
| style="text-align:center;" | -5.82
| style="text-align:center;" | -5.82
| style="text-align:center;" | down 5th
| style="text-align:center;" | down 5th
Line 170: Line 245:
| style="text-align:center;" | 16
| style="text-align:center;" | 16
| style="text-align:center;" | 685.71
| style="text-align:center;" | 685.71
|726.86
|877.71 (36D.B7<sub>16</sub>)
| style="text-align:center;" | 3:2
| style="text-align:center;" | 3:2
| style="text-align:center;" | 701.96
| style="text-align:center;" | 701.955
| style="text-align:center;" | -16.25
|744.07
|898.5 (382.81<sub>16</sub>)
| style="text-align:center;" | -16.245
| style="text-align:center;" | 5th
| style="text-align:center;" | 5th
| style="text-align:center;" | 5
| style="text-align:center;" | 5
Line 179: Line 258:
| style="text-align:center;" | 17
| style="text-align:center;" | 17
| style="text-align:center;" | 728.57
| style="text-align:center;" | 728.57
|772.29
|934.57 (3A4.92<sub>16</sub>)
| style="text-align:center;" | 32:21
| style="text-align:center;" | 32:21
| style="text-align:center;" | 729.22
| style="text-align:center;" | 729.22
|772.97
|933.6 (3A5.67<sub>16</sub>)
| style="text-align:center;" | -0.65
| style="text-align:center;" | -0.65
| style="text-align:center;" | up 5th
| style="text-align:center;" | up 5th
Line 188: Line 271:
| style="text-align:center;" | 18
| style="text-align:center;" | 18
| style="text-align:center;" | 771.43
| style="text-align:center;" | 771.43
|817.71
|987.43 (3DB.6E<sub>16</sub>)
| style="text-align:center;" | 14:9
| style="text-align:center;" | 14:9
| style="text-align:center;" | 764.92
| style="text-align:center;" | 764.92
|810.81
|979.09 (3C3.18<sub>16</sub>)
| style="text-align:center;" | 6.51
| style="text-align:center;" | 6.51
| style="text-align:center;" | double-up 5th, double-down 6th
| style="text-align:center;" | double-up 5th, double-down 6th
Line 197: Line 284:
| style="text-align:center;" | 19
| style="text-align:center;" | 19
| style="text-align:center;" | 814.29
| style="text-align:center;" | 814.29
| style="text-align:center;" | 5:8
|863.14
|1042.29 (412.49<sub>16</sub>)
| style="text-align:center;" | 8:5
| style="text-align:center;" | 813.68
| style="text-align:center;" | 813.68
|862.51
|1041.52 (411.84<sub>16</sub>)
| style="text-align:center;" | 0.61
| style="text-align:center;" | 0.61
| style="text-align:center;" | down 6th
| style="text-align:center;" | down 6th
Line 206: Line 297:
| style="text-align:center;" | 20
| style="text-align:center;" | 20
| style="text-align:center;" | 857.14
| style="text-align:center;" | 857.14
|908.57
|1097.14 (449.24<sub>16</sub>)
| style="text-align:center;" | 18:11
| style="text-align:center;" | 18:11
| style="text-align:center;" | 852.59
| style="text-align:center;" | 852.59
|903.75
|1061.32 (425.51<sub>16</sub>)
| style="text-align:center;" | 4.55
| style="text-align:center;" | 4.55
| style="text-align:center;" | 6th
| style="text-align:center;" | 6th
Line 215: Line 310:
| style="text-align:center;" | 21
| style="text-align:center;" | 21
| style="text-align:center;" | 900
| style="text-align:center;" | 900
|954
|1152 (480<sub>16</sub>)
| style="text-align:center;" | 5:3
| style="text-align:center;" | 5:3
| style="text-align:center;" | 884.36
| style="text-align:center;" | 884.36
|937.42
|1131.98 (46B.FB<sub>16</sub>)
| style="text-align:center;" | 15.64
| style="text-align:center;" | 15.64
| style="text-align:center;" | up 6th
| style="text-align:center;" | up 6th
Line 224: Line 323:
| style="text-align:center;" | 22
| style="text-align:center;" | 22
| style="text-align:center;" | 942.86
| style="text-align:center;" | 942.86
|999.43
|1206.86 (4B6.DC<sub>16</sub>)
| style="text-align:center;" | 12:7
| style="text-align:center;" | 12:7
| style="text-align:center;" | 933.13
| style="text-align:center;" | 933.13
|989.12
|1194.405 (4AA.68<sub>16</sub>)
| style="text-align:center;" | 9.73
| style="text-align:center;" | 9.73
| style="text-align:center;" | double-up 6th, double-down 7th
| style="text-align:center;" | double-up 6th, double-down 7th
Line 233: Line 336:
| style="text-align:center;" | 23
| style="text-align:center;" | 23
| style="text-align:center;" | 985.71
| style="text-align:center;" | 985.71
|1044.86
|1261.71 (4DC.49<sub>16</sub>)
| style="text-align:center;" | 30:17
| style="text-align:center;" | 30:17
| style="text-align:center;" | 983.31
| style="text-align:center;" | 983.31
|1042.31
|1258.64 (4EA.A4<sub>16</sub>)
| style="text-align:center;" | 2.40
| style="text-align:center;" | 2.40
| style="text-align:center;" | down 7th
| style="text-align:center;" | down 7th
Line 242: Line 349:
| style="text-align:center;" | 24
| style="text-align:center;" | 24
| style="text-align:center;" | 1028.57
| style="text-align:center;" | 1028.57
|1090.29
|1316.57 (524.92<sub>16</sub>)
| style="text-align:center;" | 20:11
| style="text-align:center;" | 20:11
| style="text-align:center;" | 1035.00
| style="text-align:center;" | 1035
|1097.1
|1324.795 (52C.CB<sub>16</sub>)
| style="text-align:center;" | -6.43
| style="text-align:center;" | -6.43
| style="text-align:center;" | 7th
| style="text-align:center;" | 7th
Line 251: Line 362:
| style="text-align:center;" | 25
| style="text-align:center;" | 25
| style="text-align:center;" | 1071.42
| style="text-align:center;" | 1071.42
|1135.71
|1371.43 (55A.6E<sub>16</sub>)
| style="text-align:center;" | 13:7
| style="text-align:center;" | 13:7
| style="text-align:center;" | 1071.70
| style="text-align:center;" | 1071.70
|1136
|1371.78 (54B.C8<sub>16</sub>)
| style="text-align:center;" | -0.27
| style="text-align:center;" | -0.27
| style="text-align:center;" | up 7th
| style="text-align:center;" | up 7th
Line 260: Line 375:
| style="text-align:center;" | 26
| style="text-align:center;" | 26
| style="text-align:center;" | 1114.29
| style="text-align:center;" | 1114.29
|1181.14
|1426.29 (592.49<sub>16</sub>)
| style="text-align:center;" | 40:21
| style="text-align:center;" | 40:21
| style="text-align:center;" | 1115.53
| style="text-align:center;" | 1115.53
|1162.465
|1427.88 (593.E2<sub>16</sub>)
| style="text-align:center;" | -1.24
| style="text-align:center;" | -1.24
| style="text-align:center;" | double-up 7th, double-down 8ve
| style="text-align:center;" | double-up 7th, double-down 8ve
Line 269: Line 388:
| style="text-align:center;" | 27
| style="text-align:center;" | 27
| style="text-align:center;" | 1157.14
| style="text-align:center;" | 1157.14
|1226.57
|1471.14 (5C9.25<sub>16</sub>)
| style="text-align:center;" |  
| style="text-align:center;" |  
| style="text-align:center;" |  
| style="text-align:center;" |  
|
|
| style="text-align:center;" |  
| style="text-align:center;" |  
| style="text-align:center;" | down 8ve
| style="text-align:center;" | down 8ve
Line 278: Line 401:
| style="text-align:center;" | 28
| style="text-align:center;" | 28
| style="text-align:center;" | 1200
| style="text-align:center;" | 1200
|1272
|1536 (600<sub>16</sub>)
| style="text-align:center;" | 2:1
| style="text-align:center;" | 2:1
| style="text-align:center;" | 1200
| style="text-align:center;" | 1200
|1272
|1536 (600<sub>16</sub>)
| style="text-align:center;" | 0
| style="text-align:center;" | 0
| style="text-align:center;" | 8ve
| style="text-align:center;" | 8ve
Line 389: Line 516:
|-
|-
| style="text-align:center;" | 2187/2048
| style="text-align:center;" | 2187/2048
| | | -11 7 &gt;
| |<nowiki> | -11 7 </nowiki>&gt;
| style="text-align:center;" | 113.69
| style="text-align:center;" | 113.69
| style="text-align:center;" | Apotome
| style="text-align:center;" | Apotome
Line 395: Line 522:
|-
|-
| style="text-align:center;" | 648/625
| style="text-align:center;" | 648/625
| | | 3 4 -4 &gt;
| |<nowiki> | 3 4 -4 </nowiki>&gt;
| style="text-align:center;" | 62.57
| style="text-align:center;" | 62.57
| style="text-align:center;" | Major Diesis
| style="text-align:center;" | Major Diesis
Line 401: Line 528:
|-
|-
| style="text-align:center;" | 16875/16384
| style="text-align:center;" | 16875/16384
| | | -14 3 4 &gt;
| |<nowiki> | -14 3 4 </nowiki>&gt;
| style="text-align:center;" | 51.12
| style="text-align:center;" | 51.12
| style="text-align:center;" | Negri Comma
| style="text-align:center;" | Negri Comma
Line 407: Line 534:
|-
|-
| style="text-align:center;" |  
| style="text-align:center;" |  
| | | 17 1 -8 &gt;
| |<nowiki> | 17 1 -8 </nowiki>&gt;
| style="text-align:center;" | 11.45
| style="text-align:center;" | 11.45
| style="text-align:center;" | Wuerschmidt Comma
| style="text-align:center;" | Wuerschmidt Comma
Line 413: Line 540:
|-
|-
| style="text-align:center;" | 36/35
| style="text-align:center;" | 36/35
| | | 2 2 -1 -1 &gt;
| |<nowiki> | 2 2 -1 -1 </nowiki>&gt;
| style="text-align:center;" | 48.77
| style="text-align:center;" | 48.77
| style="text-align:center;" | Septimal Quarter Tone
| style="text-align:center;" | Septimal Quarter Tone
Line 419: Line 546:
|-
|-
| style="text-align:center;" | 50/49
| style="text-align:center;" | 50/49
| | | 1 0 2 -2 &gt;
| |<nowiki> | 1 0 2 -2 </nowiki>&gt;
| style="text-align:center;" | 34.98
| style="text-align:center;" | 34.98
| style="text-align:center;" | Tritonic Diesis
| style="text-align:center;" | Tritonic Diesis
Line 425: Line 552:
|-
|-
| style="text-align:center;" | 3125/3087
| style="text-align:center;" | 3125/3087
| | | 0 -2 5 -3 &gt;
| |<nowiki> | 0 -2 5 -3 </nowiki>&gt;
| style="text-align:center;" | 21.18
| style="text-align:center;" | 21.18
| style="text-align:center;" | Gariboh
| style="text-align:center;" | Gariboh
Line 431: Line 558:
|-
|-
| style="text-align:center;" | 126/125
| style="text-align:center;" | 126/125
| | | 1 2 -3 1 &gt;
| |<nowiki> | 1 2 -3 1 </nowiki>&gt;
| style="text-align:center;" | 13.79
| style="text-align:center;" | 13.79
| style="text-align:center;" | Septimal Semicomma
| style="text-align:center;" | Septimal Semicomma
Line 437: Line 564:
|-
|-
| style="text-align:center;" | 65625/65536
| style="text-align:center;" | 65625/65536
| | | -16 1 5 1 &gt;
| |<nowiki> | -16 1 5 1 </nowiki>&gt;
| style="text-align:center;" | 2.35
| style="text-align:center;" | 2.35
| style="text-align:center;" | Horwell
| style="text-align:center;" | Horwell
Line 443: Line 570:
|-
|-
| style="text-align:center;" |  
| style="text-align:center;" |  
| | | 47 -7 -7 -7 &gt;
| |<nowiki> | 47 -7 -7 -7 </nowiki>&gt;
| style="text-align:center;" | 0.34
| style="text-align:center;" | 0.34
| style="text-align:center;" | Akjaysma
| style="text-align:center;" | Akjaysma
Line 449: Line 576:
|-
|-
| style="text-align:center;" | 176/175
| style="text-align:center;" | 176/175
| | | 4 0 -2 -1 1 &gt;
| |<nowiki> | 4 0 -2 -1 1 </nowiki>&gt;
| style="text-align:center;" | 9.86
| style="text-align:center;" | 9.86
| style="text-align:center;" | Valinorsma
| style="text-align:center;" | Valinorsma
Line 455: Line 582:
|-
|-
| style="text-align:center;" | 441/440
| style="text-align:center;" | 441/440
| | | -3 2 -1 2 -1 &gt;
| |<nowiki> | -3 2 -1 2 -1 </nowiki>&gt;
| style="text-align:center;" | 3.93
| style="text-align:center;" | 3.93
| style="text-align:center;" | Werckisma
| style="text-align:center;" | Werckisma
Line 461: Line 588:
|-
|-
| style="text-align:center;" | 4000/3993
| style="text-align:center;" | 4000/3993
| | | 5 -1 3 0 -3 &gt;
| |<nowiki> | 5 -1 3 0 -3 </nowiki>&gt;
| style="text-align:center;" | 3.03
| style="text-align:center;" | 3.03
| style="text-align:center;" | Wizardharry
| style="text-align:center;" | Wizardharry