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29edo: Difference between revisions

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→21st century: Add Bryan Deister's ''Cat - C418 (microtonal cover in 29edo)'' (2026)
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Line 49: Line 49:
! Cents
! Cents
! Approx. Ratios of the [[13-limit]]
! Approx. Ratios of the [[13-limit]]
!Chain-of-fifths notation
! colspan="3" | [[Ups and downs notation]]
! colspan="3" | [[Ups and downs notation]]
([[Enharmonic unisons in ups and downs notation|EUs]]: v<sup>3</sup>A1 and ^d2)
([[Enharmonic unisons in ups and downs notation|EUs]]: v<sup>3</sup>A1 and ^d2)
Line 56: Line 57:
| 0.000
| 0.000
| [[1/1]]
| [[1/1]]
|unison
| P1
| P1
| unison
| unison
Line 66: Line 68:
| 41.379
| 41.379
| [[33/32]],  [[40/39]],  [[45/44]], [[81/80]]
| [[33/32]],  [[40/39]],  [[45/44]], [[81/80]]
| S1, sm2
|descending diminished 2nd, double diminished 3rd
| ^1, vm2
| up unison,<br />downminor 2nd
| up unison,<br />downminor 2nd
| ^D, vEb
| ^D, vEb
Line 75: Line 78:
| 82.759
| 82.759
| [[21/20]], [[22/21]], [[135/128]], [[256/243]]
| [[21/20]], [[22/21]], [[135/128]], [[256/243]]
|minor 2nd
| m2
| m2
| minor 2nd
| minor 2nd
Line 85: Line 89:
| 124.138
| 124.138
| [[16/15]], [[15/14]], [[14/13]], [[13/12]]
| [[16/15]], [[15/14]], [[14/13]], [[13/12]]
|augmented 1sn
| ^m2
| ^m2
| upminor 2nd
| upminor 2nd
Line 95: Line 100:
| 165.517
| 165.517
| [[12/11]], [[11/10]], [[10/9]]
| [[12/11]], [[11/10]], [[10/9]]
|diminished 3rd
| vM2
| vM2
| downmajor 2nd
| downmajor 2nd
Line 105: Line 111:
| 206.897
| 206.897
| [[9/8]]
| [[9/8]]
|major 2nd
| M2
| M2
| major 2nd
| major 2nd
Line 115: Line 122:
| 248.276
| 248.276
| [[8/7]], [[7/6]], [[15/13]]
| [[8/7]], [[7/6]], [[15/13]]
|double diminished 4th, double augmented 1sn
| ^M2, vm3
| ^M2, vm3
| upmajor 2nd,<br />downminor 3rd
| upmajor 2nd,<br />downminor 3rd
Line 125: Line 133:
| 289.655
| 289.655
| [[13/11]], [[32/27]]
| [[13/11]], [[32/27]]
|minor 3rd
| m3
| m3
| minor 3rd
| minor 3rd
Line 135: Line 144:
| 331.034
| 331.034
| [[6/5]], [[11/9]]
| [[6/5]], [[11/9]]
|augmented 2nd
| ^m3
| ^m3
| upminor 3rd
| upminor 3rd
Line 145: Line 155:
| 372.414
| 372.414
| [[5/4]], [[16/13]]
| [[5/4]], [[16/13]]
|diminished 4th
| vM3
| vM3
| downmajor 3rd
| downmajor 3rd
Line 155: Line 166:
| 413.793
| 413.793
| [[14/11]], [[81/64]]
| [[14/11]], [[81/64]]
|major 3rd
| M3
| M3
| major 3rd
| major 3rd
Line 165: Line 177:
| 455.172
| 455.172
| [[9/7]], [[13/10]]
| [[9/7]], [[13/10]]
|double diminished 5th, double augmented 2nd
| ^M3, v4
| ^M3, v4
| upmajor 3rd<br />down 4th
| upmajor 3rd<br />down 4th
Line 175: Line 188:
| 496.552
| 496.552
| [[4/3]]
| [[4/3]]
|perfect 4th
| P4
| P4
| 4th
| 4th
Line 185: Line 199:
| 537.931
| 537.931
| [[11/8]], [[15/11]]
| [[11/8]], [[15/11]]
|augmented 3rd
| ^4
| ^4
| up 4th
| up 4th
Line 195: Line 210:
| 579.310
| 579.310
| [[7/5]], [[18/13]]
| [[7/5]], [[18/13]]
|diminished 5th
| vA4, d5
| vA4, d5
| downaug 4th,<br />dim 5th
| downaug 4th,<br />dim 5th
Line 205: Line 221:
| 620.690
| 620.690
| [[10/7]], [[13/9]]
| [[10/7]], [[13/9]]
|augmented 4th
| A4, ^d5
| A4, ^d5
| aug 4th,<br />updim 5th
| aug 4th,<br />updim 5th
Line 215: Line 232:
| 662.069
| 662.069
| [[16/11]], [[22/15]]
| [[16/11]], [[22/15]]
|diminished 6th
| v5
| v5
| down 5th
| down 5th
Line 225: Line 243:
| 703.448
| 703.448
| [[3/2]]
| [[3/2]]
|perfect 5th
| P5
| P5
| 5th
| 5th
Line 235: Line 254:
| 744.828
| 744.828
| [[14/9]], [[20/13]]
| [[14/9]], [[20/13]]
|double augmented 4th, double diminished 7th
| ^5, vm6
| ^5, vm6
| up 5th,<br />downminor 6th
| up 5th,<br />downminor 6th
Line 245: Line 265:
| 786.207
| 786.207
| [[11/7]], [[128/81]]
| [[11/7]], [[128/81]]
|minor 6th
| m6
| m6
| minor 6th
| minor 6th
Line 255: Line 276:
| 827.586
| 827.586
| [[8/5]], [[13/8]]
| [[8/5]], [[13/8]]
|augmented 5th
| ^m6
| ^m6
| upminor 6th
| upminor 6th
Line 265: Line 287:
| 868.966
| 868.966
| [[5/3]], [[18/11]]
| [[5/3]], [[18/11]]
|diminished 7th
| vM6
| vM6
| downmajor 6th
| downmajor 6th
Line 275: Line 298:
| 910.345
| 910.345
| [[22/13]], [[27/16]]
| [[22/13]], [[27/16]]
|major 6th
| M6
| M6
| major 6th
| major 6th
Line 285: Line 309:
| 951.724
| 951.724
| [[7/4]], [[12/7]], [[26/15]]
| [[7/4]], [[12/7]], [[26/15]]
|double augmented 5th, double diminished 8ve
| ^M6, vm7
| ^M6, vm7
| upmajor 6th,<br />downminor 7th
| upmajor 6th,<br />downminor 7th
Line 295: Line 320:
| 993.103
| 993.103
| [[16/9]]
| [[16/9]]
|minor 7th
| m7
| m7
| minor 7th
| minor 7th
Line 305: Line 331:
| 1034.483
| 1034.483
| [[11/6]], [[20/11]], [[9/5]]
| [[11/6]], [[20/11]], [[9/5]]
|augmented 6th
| ^m7
| ^m7
| upminor 7th
| upminor 7th
Line 315: Line 342:
| 1075.862
| 1075.862
| [[15/8]], [[28/15]], [[13/7]], [[24/13]]
| [[15/8]], [[28/15]], [[13/7]], [[24/13]]
|diminished 8ve
| vM7
| vM7
| downmajor 7th
| downmajor 7th
Line 325: Line 353:
| 1117.241
| 1117.241
| [[40/21]], [[21/11]], [[256/135]], [[243/128]]
| [[40/21]], [[21/11]], [[256/135]], [[243/128]]
|major 7th
| M7
| M7
| major 7th
| major 7th
Line 335: Line 364:
| 1158.621
| 1158.621
| [[64/33]], [[39/20]], [[88/45]] [[160/81]]
| [[64/33]], [[39/20]], [[88/45]] [[160/81]]
|descending augmented 7th, double augmented 6th
| ^M7, v8
| ^M7, v8
| upmajor 7th,<br />down 8ve
| upmajor 7th,<br />down 8ve
Line 345: Line 375:
| 1200.000
| 1200.000
| [[2/1]]
| [[2/1]]
|octave
| P8
| P8
| 8ve
| 8ve
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