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Meantone: Difference between revisions

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Line 30: Line 30:
! Fifth size
! Fifth size
! usual name
! usual name
|-
|16/13
|689.868
|Meanplop
|-
|-
|567/512
|567/512
|688.323
|688.323
|1/2 septimal comma
|1/2 septimal comma
|-
|16/13
|689.868
|Meanplop
|-
|-
|<nowiki>| 16 -10 ></nowiki>
|<nowiki>| 16 -10 ></nowiki>
Line 50: Line 58:
| 691.202
| 691.202
| 1/2 comma
| 1/2 comma
|-
|13/12
|692.285
|Meanplop
|-
|-
| [[26edo|15\26]]
| [[26edo|15\26]]
Line 62: Line 74:
|692.867
|692.867
|1/3 septimal comma
|1/3 septimal comma
|-
|13/10
|693.223
|Meanplop
|-
|-
| [[45edo|26\45]]
| [[45edo|26\45]]
Line 70: Line 86:
| 693.352
| 693.352
| 2/5 comma
| 2/5 comma
|-
|18/13
|693.897
|Meanplop
|-
|-
|19683/16384
|19683/16384
Line 78: Line 98:
|694.165
|694.165
|2/7 septimal comma
|2/7 septimal comma
|-
|15/13
|694.193
|Meanplop
|-
|-
|[[14/13]]
|[[14/13]]
Line 102: Line 126:
| 694.786
| 694.786
| 1/3 comma
| 1/3 comma
|-
|14/13
|694.878
|Meanplop
|-
|-
|[[18/13]]
|[[18/13]]
Line 130: Line 158:
| 695.493
| 695.493
| Lucy Tuning
| Lucy Tuning
|-
|39/28
|695.6095
|Tridecimal Meantone, Tridecimal Meanpop
|-
|-
|[[13/12]]
|[[13/12]]
Line 150: Line 182:
| 695.81
| 695.81
| 2/7 comma
| 2/7 comma
|-
|40/33
|695.815
|Meanpop
|-
|-
| [[13/10]]
| [[13/10]]
Line 158: Line 194:
|695.869
|695.869
|
|
|-
|112/99
|695.886
|Meanpop
|-
|-
| [[36/35]]
| [[36/35]]
Line 173: Line 213:
|16/13
|16/13
|696.035
|696.035
|Tridecimal Meantone
|Tridecimal Meantone, Tridecimal Meanpop
|-
|13/11
|696.043
|13, 15 limit minimax (Tridecimal Meanpop)
|-
|11/8
|696.052
|Meanpop
|-
|-
|8192/6561
|8192/6561
Line 186: Line 234:
| 696.165
| 696.165
| [[5-limit]] least squares
| [[5-limit]] least squares
|-
|11/10
|696.176
|Meanpop
|-
|-
| (8 - φ)\11
| (8 - φ)\11
Line 206: Line 258:
| 696.319
| 696.319
|
|
|-
|27/22
|696.3635
|Meanpop
|-
|-
| [[48/35]]
| [[48/35]]
Line 213: Line 269:
|39/32
|39/32
|696.405
|696.405
|
|Tridecimal Meantone, Tridecimal Meanpop
|-
|14/11
|696.413
|Meanpop
|-
|-
| {{Monzo| 19 9 -1 -11 }}
| {{Monzo| 19 9 -1 -11 }}
| 696.436
| 696.436
| 9-limit least squares
| 9-limit least squares
|-
|12/11
|696.474
|Meanpop
|-
|-
|16384/15309
|16384/15309
Line 250: Line 314:
| 696.796
| 696.796
|
|
|-
|11/9
|696.839
|Meanpop
|-
|-
| [[8/7]]
| [[8/7]]
Line 261: Line 329:
|[[12/11]]
|[[12/11]]
|697.021
|697.021
|
|Undecimal Meantone
|-
|-
| [[7/5]]
| [[7/5]]
Line 269: Line 337:
|[[15/11]]
|[[15/11]]
|697.158
|697.158
|
| rowspan="2" |Undecimal Meantone
|-
|-
|[[27/22]]
|[[27/22]]
|697.159
|697.159
|
|-
|39/32
|697.168
|Grosstone
|-
|-
| [[75/64]]
| [[75/64]]
| 697.176
| 697.176
|
|
|-
|22/21
|697.22
|Undecimal Meantone
|-
|-
|14/13
|14/13
Line 293: Line 368:
|[[11/8]]
|[[11/8]]
|697.295
|697.295
|
|Undecimal Meantone
|-
|-
| [[74edo|43\74]]
| [[74edo|43\74]]
| 697.297
| 697.297
|
|-
|[5/4 7]
|697.339
|
|
|-
|-
Line 321: Line 400:
|[[11/10]]
|[[11/10]]
|697.5
|697.5
|
|Undecimal Meantone
|-
|-
|15/13
|15/13
Line 347: Line 426:
|
|
|-
|-
|16/13
|40/33, 16/13
|697.797
|697.797
|Meridetone
|Undecimal Meantone, Meridetone
|-
|-
|[[14/11]]
|[[14/11]]
|697.812
|697.812
|
|Undecimal Meantone
|-
|-
|15/13
|15/13
Line 385: Line 464:
|33/28
|33/28
|698.272
|698.272
|
|Undecimal Meantone
|-
|-
| [[80/63]]
| [[80/63]]
Line 398: Line 477:
| 698.371
| 698.371
| 1/6 comma
| 1/6 comma
|-
|33/26
|698.407
|Meanplop, Meridetone
|-
|-
| [[67edo|39\67]]
| [[67edo|39\67]]
Line 406: Line 489:
|698.604
|698.604
|1/7 Pythagorean comma, Pythagorean limma
|1/7 Pythagorean comma, Pythagorean limma
|-
|112/99
|698.64
|Undecimal Meantone
|-
|-
|45/34
|45/34
Line 417: Line 504:
|13/11
|13/11
|698.801
|698.801
|Meridetone
|Meridetone, Meanplop
|-
|-
|[[135/128]]
|[[135/128]]
Line 466: Line 553:
|''703.186''
|''703.186''
|''Tridecimal Meantone''
|''Tridecimal Meantone''
|-
|''22/21''
|''703.356''
|''Meanpop''
|-
|-
|''13/11''
|''13/11''
Line 471: Line 562:
|''Tridecimal Meantone''
|''Tridecimal Meantone''
|-
|-
|''88/81''
| rowspan="2" |''88/81''
|''707.946''
|''Meanpop''
|-
|''710.4335''
|''710.4335''
|
|''Undecimal Meantone''
|}
|}


Line 479: Line 573:


== Links ==
== Links ==
* http://www.kylegann.com/histune.html -- An Introduction to Historical Tunings, by [[Kyle Gann]]   [[Category:Meantone| ]] <!-- main article -->
* http://www.kylegann.com/histune.html -- An Introduction to Historical Tunings, by [[Kyle Gann]]   [[Category:Meantone| ]] <!-- main article -->
[[Category:Temperament]]
[[Category:Temperament]]
[[Category:Theory]]
[[Category:Theory]]
Retrieved from "https://en.xen.wiki/w/Meantone"