Xenharmonic Wiki

29edo: Difference between revisions

← Older editNewer edit →
VisualWikitext
m Minor corrections
m Unify precision and add links to ratios
Line 7: Line 7:
29 is the lowest edo which approximates the [[3/2]] just fifth more accurately than [[12edo]]: 3/2 = 701.955… cents; 17 degrees of 29edo = 703.448… cents. Since the fifth is slightly sharp, 29edo is a [[Erv Wilson's Linear Notations|positive temperament]] – a Superpythagorean instead of a Meantone system.
29 is the lowest edo which approximates the [[3/2]] just fifth more accurately than [[12edo]]: 3/2 = 701.955… cents; 17 degrees of 29edo = 703.448… cents. Since the fifth is slightly sharp, 29edo is a [[Erv Wilson's Linear Notations|positive temperament]] – a Superpythagorean instead of a Meantone system.
{| class="wikitable"
{| class="wikitable"
|+
|[[File:29edoSuperpythDiatonic.mp3]] [[:File:29edoSuperpythDiatonic.mp3|[File info]]]
|[[File:29edoSuperpythDiatonic.mp3]] [[:File:29edoSuperpythDiatonic.mp3|[File info]]]
|[[File:12edoDiatonic.mp3]] [[:File:12edoDiatonic.mp3|[File info]]]
|[[File:12edoDiatonic.mp3]] [[:File:12edoDiatonic.mp3|[File info]]]
Line 35: Line 34:
| 0
| 0
| 0.000
| 0.000
| 1/1
| [[1/1]]
| P1
| P1
| unison
| unison
Line 43: Line 42:
| 1
| 1
| 41.379
| 41.379
| 25/24, 33/32, 56/55, 81/80
| [[25/24]], [[33/32]], [[56/55]], [[81/80]]
| ^1, vm2
| ^1, vm2
| up unison,<br>downminor 2nd
| up unison,<br>downminor 2nd
Line 51: Line 50:
| 2
| 2
| 82.759
| 82.759
| 21/20
| [[21/20]]
| m2
| m2
| minor 2nd
| minor 2nd
Line 59: Line 58:
| 3
| 3
| 124.138
| 124.138
| 16/15, 15/14, 14/13, 13/12
| [[16/15]], [[15/14]], [[14/13]], [[13/12]]
| ^m2
| ^m2
| upminor 2nd
| upminor 2nd
Line 67: Line 66:
| 4
| 4
| 165.517
| 165.517
| 12/11, 11/10
| [[12/11]], [[11/10]]
| vM2
| vM2
| downmajor 2nd
| downmajor 2nd
Line 75: Line 74:
| 5
| 5
| 206.897
| 206.897
| 9/8
| [[9/8]]
| M2
| M2
| major 2nd
| major 2nd
Line 83: Line 82:
| 6
| 6
| 248.276
| 248.276
| 8/7, 7/6, 15/13
| [[8/7]], [[7/6]], [[15/13]]
| ^M2, vm3
| ^M2, vm3
| upmajor 2nd,<br>downminor 3rd
| upmajor 2nd,<br>downminor 3rd
Line 91: Line 90:
| ·7
| ·7
| 289.655
| 289.655
| 13/11
| [[13/11]]
| m3
| m3
| minor 3rd
| minor 3rd
Line 98: Line 97:
|-
|-
| 8
| 8
| 331.0345
| 331.034
| 6/5, 11/9
| [[6/5]], [[11/9]]
| ^m3
| ^m3
| upminor 3rd
| upminor 3rd
Line 107: Line 106:
| 9
| 9
| 372.414
| 372.414
| 5/4, 16/13
| [[5/4]], [[16/13]]
| vM3
| vM3
| downmajor 3rd
| downmajor 3rd
Line 115: Line 114:
| 10
| 10
| 413.793
| 413.793
| 14/11
| [[14/11]]
| M3
| M3
| major 3rd
| major 3rd
Line 123: Line 122:
| 11
| 11
| 455.172
| 455.172
| 9/7, 13/10
| [[9/7]], [[13/10]]
| ^M3, v4
| ^M3, v4
| upmajor 3rd<br>down 4th
| upmajor 3rd<br>down 4th
Line 131: Line 130:
| ·12
| ·12
| 496.552
| 496.552
| 4/3
| [[4/3]]
| P4
| P4
| 4th
| 4th
Line 139: Line 138:
| 13
| 13
| 537.931
| 537.931
| 11/8, 15/11
| [[11/8]], [[15/11]]
| ^4
| ^4
| up 4th
| up 4th
Line 146: Line 145:
|-
|-
| 14
| 14
| 579.31
| 579.310
| 7/5, 18/13
| [[7/5]], [[18/13]]
| vA4, d5
| vA4, d5
| downaug 4th,<br>dim 5th
| downaug 4th,<br>dim 5th
Line 154: Line 153:
|-
|-
| 15
| 15
| 620.69
| 620.690
| 10/7, 13/9
| [[10/7]], [[13/9]]
| A4, ^d5
| A4, ^d5
| aug 4th,<br>updim 5th
| aug 4th,<br>updim 5th
Line 163: Line 162:
| 16
| 16
| 662.069
| 662.069
| 16/11, 22/15
| [[16/11]], [[22/15]]
| v5
| v5
| down 5th
| down 5th
Line 171: Line 170:
| ·17
| ·17
| 703.448
| 703.448
| 3/2
| [[3/2]]
| P5
| P5
| 5th
| 5th
Line 179: Line 178:
| 18
| 18
| 744.828
| 744.828
| 14/9, 20/13
| [[14/9]], [[20/13]]
| ^5, vm6
| ^5, vm6
| up 5th,<br>downminor 6th
| up 5th,<br>downminor 6th
Line 187: Line 186:
| 19
| 19
| 786.207
| 786.207
| 11/7
| [[11/7]]
| m6
| m6
| minor 6th
| minor 6th
Line 195: Line 194:
| 20
| 20
| 827.586
| 827.586
| 8/5, 13/8
| [[8/5]], [[13/8]]
| ^m6
| ^m6
| upminor 6th
| upminor 6th
Line 202: Line 201:
|-
|-
| 21
| 21
| 868.9655
| 868.966
| 5/3, 18/11
| [[5/3]], [[18/11]]
| vM6
| vM6
| downmajor 6th
| downmajor 6th
Line 211: Line 210:
| ·22
| ·22
| 910.345
| 910.345
| 22/13
| [[22/13]]
| M6
| M6
| major 6th
| major 6th
Line 219: Line 218:
| 23
| 23
| 951.724
| 951.724
| 7/4, 12/7, 26/15
| [[7/4]], [[12/7]], [[26/15]]
| ^M6, vm7
| ^M6, vm7
| upmajor 6th,<br>downminor 7th
| upmajor 6th,<br>downminor 7th
Line 227: Line 226:
| 24
| 24
| 993.103
| 993.103
| 16/9
| [[16/9]]
| m7
| m7
| minor 7th
| minor 7th
Line 235: Line 234:
| 25
| 25
| 1034.483
| 1034.483
| 11/6, 20/11
| [[11/6]], [[20/11]]
| ^m7
| ^m7
| upminor 7th
| upminor 7th
Line 243: Line 242:
| 26
| 26
| 1075.862
| 1075.862
| 15/8, 28/15, 13/7, 24/13
| [[15/8]], [[28/15]], [[13/7]], [[24/13]]
| vM7
| vM7
| downmajor 7th
| downmajor 7th
Line 251: Line 250:
| 27
| 27
| 1117.241
| 1117.241
| 40/21
| [[40/21]]
| M7
| M7
| major 7th
| major 7th
Line 259: Line 258:
| 28
| 28
| 1158.621
| 1158.621
| 48/25, 64/33, 55/28, 160/81
| [[48/25]], [[64/33]], [[55/28]], [[160/81]]
| ^M7, v8
| ^M7, v8
| upmajor 7th,<br>down 8ve
| upmajor 7th,<br>down 8ve
Line 266: Line 265:
|-
|-
| 29
| 29
| 1200
| 1200.000
| 2/1
| [[2/1]]
| P8
| P8
| 8ve
| 8ve
Line 682: Line 681:
[[Category:Theory]]
[[Category:Theory]]
[[Category:Ttwentuning]]
[[Category:Ttwentuning]]
[[Category:todo:unify_precision]]
Retrieved from "https://en.xen.wiki/w/29edo"