Meantone: Difference between revisions
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== Meantone Temperaments (ie, tunings) == | == Meantone Temperaments (ie, tunings) == | ||
* [[19edo | * [[19edo]] | ||
* [[ | * [[1/3 Syntonic Comma Meantone]] | ||
* [[Golden Meantone]] | * [[Golden Meantone]] | ||
* [[Quarter-comma meantone|1/4 Syntonic Comma Meantone]] | * [[Quarter-comma meantone|1/4 Syntonic Comma Meantone]] | ||
* [[31edo | * [[31edo]] | ||
* [[ | * [[1/5 Syntonic Comma Meantone]] | ||
* [[ | * [[1/6 Syntonic Comma Meantone]] | ||
* [[12edo | * [[12edo]] | ||
* [[Lucy Tuning]] | * [[Lucy Tuning]] | ||
* [[50edo | * [[50edo]] | ||
* [[55edo | * [[55edo]] | ||
* [[Tungsten meantone]] | * [[Tungsten meantone]] | ||
| Line 28: | Line 28: | ||
|- | |- | ||
! [[Eigenmonzo]] | ! [[Eigenmonzo]] | ||
! Fifth size | ! Fifth size | ||
! usual name | |||
|- | |- | ||
| [[10/9]] | | [[10/9]] | ||
| 691.202 | | 691.202 | ||
| 1/2 comma | |||
|- | |- | ||
| [[26edo|15\26]] | | [[26edo|15\26]] | ||
| 692.308 | | 692.308 | ||
| | |||
|- | |- | ||
| [[45edo|26\45]] | | [[45edo|26\45]] | ||
| 693.333 | | 693.333 | ||
| | |||
|- | |- | ||
| [[27/25]] | | [[27/25]] | ||
| 693.352 | | 693.352 | ||
| 2/5 comma | |||
|- | |- | ||
| [[56/45]] | | [[56/45]] | ||
| 694.651 | | 694.651 | ||
| | |||
|- | |- | ||
| [[28/27]] | | [[28/27]] | ||
| 694.709 | | 694.709 | ||
| | |||
|- | |- | ||
| 81/70 | | 81/70 | ||
| 694.732 | | 694.732 | ||
| | |||
|- | |- | ||
| [[19edo|11\19]] | | [[19edo|11\19]] | ||
| 694.737 | | 694.737 | ||
| | |||
|- | |- | ||
| [[6/5]] | | [[6/5]] | ||
| 694.786 | | 694.786 | ||
| 1/3 comma | |||
|- | |- | ||
| [[35/27]] | | [[35/27]] | ||
| 695.389 | | 695.389 | ||
| | |||
|- | |- | ||
| [[88edo|51\88]] | | [[88edo|51\88]] | ||
| 695.455 | | 695.455 | ||
| | |||
|- | |- | ||
| 1\2 + 1\(4π) | | 1\2 + 1\(4π) | ||
| 695.493 | | 695.493 | ||
| Lucy Tuning | |||
|- | |- | ||
| [[9/7]] | | [[9/7]] | ||
| 695.614 | | 695.614 | ||
| | |||
|- | |- | ||
| f^4 = 2f + 2 | | f^4 = 2f + 2 | ||
| 695.630 | | 695.630 | ||
| Wilson fifth | |||
|- | |- | ||
| [[69edo|40\69]] | | [[69edo|40\69]] | ||
| 695.652 | | 695.652 | ||
| | |||
|- | |- | ||
| [[25/24]] | | [[25/24]] | ||
| 695.810 | | 695.810 | ||
| 2/7 comma | |||
|- | |- | ||
| [[13/10]] | | [[13/10]] | ||
| 695.838 | | 695.838 | ||
| ratwolf fifth, meanpop eigenmonzo | |||
|- | |- | ||
| [[36/35]] | | [[36/35]] | ||
| 695.936 | | 695.936 | ||
| | |||
|- | |- | ||
| [[54/49]] | | [[54/49]] | ||
| 695.987 | | 695.987 | ||
| | |||
|- | |- | ||
| [[50edo|29\50]] | | [[50edo|29\50]] | ||
| 696.000 | | 696.000 | ||
| | |||
|- | |- | ||
| [[15/14]] | | [[15/14]] | ||
| 696.111 | | 696.111 | ||
| | |||
|- | |- | ||
| 78125/73728 | | 78125/73728 | ||
| 696.165 | | 696.165 | ||
| [[5-limit]] least squares | |||
|- | |- | ||
| (8 - φ)\11 | | (8 - φ)\11 | ||
| 696.214 | | 696.214 | ||
| Golden meantone | |||
|- | |- | ||
| [[49/45]] | | [[49/45]] | ||
| 696.245 | | 696.245 | ||
| | |||
|- | |- | ||
| [[81edo|47\81]] | | [[81edo|47\81]] | ||
| 696.296 | | 696.296 | ||
| | |||
|- | |- | ||
| [[7/6]] | | [[7/6]] | ||
| 696.319 | | 696.319 | ||
| | |||
|- | |- | ||
| [[48/35]] | | [[48/35]] | ||
| 696.399 | | 696.399 | ||
| | |||
|- | |- | ||
| {{Monzo| 19 9 -1 -11 }} | | {{Monzo| 19 9 -1 -11 }} | ||
| 696.436 | | 696.436 | ||
| 9-limit least squares | |||
|- | |- | ||
| [[5/4]] | | [[5/4]] | ||
| 696.578 | | 696.578 | ||
| 5- 7- and 9-limit minimax, 1/4 comma | |||
|- | |- | ||
| 49/48 | | 49/48 | ||
| 696.616 | | 696.616 | ||
| | |||
|- | |- | ||
| 60/49 | | 60/49 | ||
| 696.626 | | 696.626 | ||
| | |||
|- | |- | ||
| {{Monzo| -55 -11 1 25 }} | | {{Monzo| -55 -11 1 25 }} | ||
| 696.648 | | 696.648 | ||
| [[7-limit]] least squares | |||
|- | |- | ||
| [[31edo|18\31]] | | [[31edo|18\31]] | ||
| 696.774 | | 696.774 | ||
| | |||
|- | |- | ||
| [[35/32]] | | [[35/32]] | ||
| 696.796 | | 696.796 | ||
| | |||
|- | |- | ||
| [[8/7]] | | [[8/7]] | ||
| 696.883 | | 696.883 | ||
| | |||
|- | |- | ||
| [[49/40]] | | [[49/40]] | ||
| 696.959 | | 696.959 | ||
| | |||
|- | |- | ||
| [[7/5]] | | [[7/5]] | ||
| 697.085 | | 697.085 | ||
| | |||
|- | |- | ||
| [[75/64]] | | [[75/64]] | ||
| 697.176 | | 697.176 | ||
| | |||
|- | |- | ||
| [[74edo|43\74]] | | [[74edo|43\74]] | ||
| 697.297 | | 697.297 | ||
| | |||
|- | |- | ||
| [[21/16]] | | [[21/16]] | ||
| 697.344 | | 697.344 | ||
| | |||
|- | |- | ||
| [[16/15]] | | [[16/15]] | ||
| 697.654 | | 697.654 | ||
| 1/5 comma | |||
|- | |- | ||
| [[43edo|25\43]] | | [[43edo|25\43]] | ||
| 697.674 | | 697.674 | ||
| | |||
|- | |- | ||
| [[64/63]] | | [[64/63]] | ||
| 697.728 | | 697.728 | ||
| | |||
|- | |- | ||
| [[21/20]] | | [[21/20]] | ||
| 697.781 | | 697.781 | ||
| | |||
|- | |- | ||
| [[28/25]] | | [[28/25]] | ||
| 698.099 | | 698.099 | ||
| | |||
|- | |- | ||
| [[55edo|32\55]] | | [[55edo|32\55]] | ||
| 698.182 | | 698.182 | ||
| | |||
|- | |- | ||
| [[80/63]] | | [[80/63]] | ||
| 698.303 | | 698.303 | ||
| | |||
|- | |- | ||
| [[45/32]] | | [[45/32]] | ||
| 698.371 | | 698.371 | ||
| 1/6 comma | |||
|- | |- | ||
| [[67edo|39\67]] | | [[67edo|39\67]] | ||
| 698.507 | | 698.507 | ||
| | |||
|- | |- | ||
| [[79edo|46\79]] | | [[79edo|46\79]] | ||
| 698.734 | | 698.734 | ||
| | |||
|- | |- | ||
| [[25/21]] | | [[25/21]] | ||
| 699.384 | | 699.384 | ||
| | |||
|- | |- | ||
| [[12edo|7\12]] | | [[12edo|7\12]] | ||
| 700.000 | | 700.000 | ||
| | |||
|- | |- | ||
| [[53edo|31\53]] | | [[53edo|31\53]] | ||
| 701.887 | | 701.887 | ||
| | |||
|- | |- | ||
| [[3/2]] | | [[3/2]] | ||
| 701.955 | | 701.955 | ||
| [[Pythagorean tuning]] | |||
|} | |} | ||
[5/4 7] | |||
[5/4 7] eigenmonzos: [[meanwoo12]], [[meanwoo19]] | |||
== Links == | == Links == | ||