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51edo: Difference between revisions

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→Music: Add another one of Bryan Deister's ''51edo improv'' videos, and distinguish them
→Intervals: + approximate ratios
Line 24: Line 24:
! #
! #
! [[Cent]]s
! [[Cent]]s
! Approximate ratios*
! colspan="3" | [[Ups and downs notation]]
! colspan="3" | [[Ups and downs notation]]
|-
|-
| 0
| 0
| 0.0
| 0.0
| 1/1
| Perfect 1sn
| Perfect 1sn
| P1
| P1
Line 34: Line 36:
| 1
| 1
| 23.5
| 23.5
| ''49/48'', 64/63
| Up 1sn
| Up 1sn
| ^1
| ^1
Line 40: Line 43:
| 2
| 2
| 47.1
| 47.1
| ''28/27''
| Downminor 2nd
| Downminor 2nd
| vm2
| vm2
Line 46: Line 50:
| 3
| 3
| 70.6
| 70.6
| 27/26
| Minor 2nd
| Minor 2nd
| m2
| m2
Line 52: Line 57:
| 4
| 4
| 94.1
| 94.1
|
| Upminor 2nd
| Upminor 2nd
| ^m2
| ^m2
Line 58: Line 64:
| 5
| 5
| 117.6
| 117.6
| 14/13
| Downmid 2nd
| Downmid 2nd
| v~2
| v~2
Line 64: Line 71:
| 6
| 6
| 141.2
| 141.2
| 13/12
| Mid 2nd
| Mid 2nd
| ~2
| ~2
Line 70: Line 78:
| 7
| 7
| 164.7
| 164.7
|
| Upmid 2nd
| Upmid 2nd
| ^~2
| ^~2
Line 76: Line 85:
| 8
| 8
| 188.2
| 188.2
|
| Downmajor 2nd
| Downmajor 2nd
| vM2
| vM2
Line 82: Line 92:
| 9
| 9
| 211.8
| 211.8
| 9/8
| Major 2nd
| Major 2nd
| M2
| M2
Line 88: Line 99:
| 10
| 10
| 235.3
| 235.3
| 8/7
| Upmajor 2nd
| Upmajor 2nd
| ^M2
| ^M2
Line 94: Line 106:
| 11
| 11
| 258.8
| 258.8
| 7/6
| Downminor 3rd
| Downminor 3rd
| vm3
| vm3
Line 100: Line 113:
| 12
| 12
| 282.4
| 282.4
| ''32/27''
| Minor 3rd
| Minor 3rd
| m3
| m3
Line 106: Line 120:
| 13
| 13
| 305.9
| 305.9
|
| Upminor 3rd
| Upminor 3rd
| ^m3
| ^m3
Line 112: Line 127:
| 14
| 14
| 329.4
| 329.4
| 63/52
| Downmid 3rd
| Downmid 3rd
| v~3
| v~3
Line 118: Line 134:
| 15
| 15
| 352.9
| 352.9
| 16/13, 39/32
| Mid 3rd
| Mid 3rd
| ~3
| ~3
Line 124: Line 141:
| 16
| 16
| 376.5
| 376.5
| 26/21
| Upmid 3rd
| Upmid 3rd
| ^~3
| ^~3
Line 130: Line 148:
| 17
| 17
| 400.0
| 400.0
|
| Downmajor 3rd
| Downmajor 3rd
| vM3
| vM3
Line 136: Line 155:
| 18
| 18
| 423.5
| 423.5
| ''81/64''
| Major 3rd
| Major 3rd
| M3
| M3
Line 142: Line 162:
| 19
| 19
| 447.1
| 447.1
| ''9/7''
| Upmajor 3rd
| Upmajor 3rd
| ^M3
| ^M3
Line 148: Line 169:
| 20
| 20
| 470.6
| 470.6
| 21/16
| Down 4th
| Down 4th
| v4
| v4
Line 154: Line 176:
| 21
| 21
| 494.1
| 494.1
| 4/3
| Perfect 4th
| Perfect 4th
| P4
| P4
Line 160: Line 183:
| 22
| 22
| 517.6
| 517.6
|
| Up 4th
| Up 4th
| ^4
| ^4
Line 166: Line 190:
| 23
| 23
| 541.2
| 541.2
|
| Downdim 5th
| Downdim 5th
| vd5
| vd5
Line 172: Line 197:
| 24
| 24
| 564.7
| 564.7
| 18/13
| Dim 5th
| Dim 5th
| d5
| d5
Line 178: Line 204:
| 25
| 25
| 588.2
| 588.2
| 39/28
| Updim 5th
| Updim 5th
| ^d5
| ^d5
Line 184: Line 211:
| 26
| 26
| 611.8
| 611.8
| 56/39
| Downaug 4th
| Downaug 4th
| vA4
| vA4
Line 190: Line 218:
| 27
| 27
| 635.3
| 635.3
| 13/9
| Aug 4th
| Aug 4th
| A4
| A4
Line 196: Line 225:
| 28
| 28
| 658.8
| 658.8
|
| Upaug 4th
| Upaug 4th
| ^A4
| ^A4
Line 202: Line 232:
| 29
| 29
| 682.4
| 682.4
|
| Down 5th
| Down 5th
| v5
| v5
Line 208: Line 239:
| 30
| 30
| 705.9
| 705.9
| 3/2
| Perfect 5th
| Perfect 5th
| P5
| P5
Line 214: Line 246:
| 31
| 31
| 729.4
| 729.4
| 32/21
| Up 5th
| Up 5th
| ^5
| ^5
Line 220: Line 253:
| 32
| 32
| 752.9
| 752.9
| ''14/9''
| Downminor 6th
| Downminor 6th
| vm6
| vm6
Line 226: Line 260:
| 33
| 33
| 776.5
| 776.5
| ''128/81''
| Minor 6th
| Minor 6th
| m6
| m6
Line 232: Line 267:
| 34
| 34
| 800.0
| 800.0
|
| Upminor 6th
| Upminor 6th
| ^m6
| ^m6
Line 238: Line 274:
| 35
| 35
| 823.5
| 823.5
| 21/13
| Downmid 6th
| Downmid 6th
| v~6
| v~6
Line 244: Line 281:
| 36
| 36
| 847.1
| 847.1
| 13/8, 64/39
| Mid 6th
| Mid 6th
| ~6
| ~6
Line 250: Line 288:
| 37
| 37
| 870.6
| 870.6
| 104/63
| Upmid 6th
| Upmid 6th
| ^~6
| ^~6
Line 256: Line 295:
| 38
| 38
| 894.1
| 894.1
|
| Downmajor 6th
| Downmajor 6th
| vM6
| vM6
Line 262: Line 302:
| 39
| 39
| 917.6
| 917.6
| ''27/16''
| Major 6th
| Major 6th
| M6
| M6
Line 268: Line 309:
| 40
| 40
| 941.2
| 941.2
| 12/7
| Upmajor 6th
| Upmajor 6th
| ^M6
| ^M6
Line 274: Line 316:
| 41
| 41
| 964.7
| 964.7
| 7/4
| Downminor 7th
| Downminor 7th
| vm7
| vm7
Line 280: Line 323:
| 42
| 42
| 988.2
| 988.2
| 16/9
| Minor 7th
| Minor 7th
| m7
| m7
Line 286: Line 330:
| 43
| 43
| 1011.8
| 1011.8
|
| Upminor 7th
| Upminor 7th
| ^m7
| ^m7
Line 292: Line 337:
| 44
| 44
| 1035.3
| 1035.3
|
| Downmid 7th
| Downmid 7th
| v~7
| v~7
Line 298: Line 344:
| 45
| 45
| 1058.8
| 1058.8
| 24/13
| Mid 7th
| Mid 7th
| ~7
| ~7
Line 304: Line 351:
| 46
| 46
| 1082.4
| 1082.4
| 13/7
| Upmid 7th
| Upmid 7th
| ^~7
| ^~7
Line 310: Line 358:
| 47
| 47
| 1105.9
| 1105.9
|
| Downmajor 7th
| Downmajor 7th
| vM7
| vM7
Line 316: Line 365:
| 48
| 48
| 1129.4
| 1129.4
| 52/27
| Major 7th
| Major 7th
| M7
| M7
Line 322: Line 372:
| 49
| 49
| 1152.9
| 1152.9
| ''27/14''
| Upmajor 7th
| Upmajor 7th
| ^M7
| ^M7
Line 328: Line 379:
| 50
| 50
| 1176.5
| 1176.5
| 63/32, ''96/49''
| Down 8ve
| Down 8ve
| v8
| v8
Line 334: Line 386:
| 51
| 51
| 1200.0
| 1200.0
| 2/1
| Perfect 8ve
| Perfect 8ve
| P8
| P8
| D
| D
|}
|}
<nowiki>*</nowiki> As a 2.3.7.13-subgroup temperament, inconsistent intervals in italic


== Notation ==
== Notation ==
Retrieved from "https://en.xen.wiki/w/51edo"