Meantone: Difference between revisions
Tags: Mobile edit Mobile web edit |
No edit summary |
||
| Line 22: | Line 22: | ||
== Scales == | == Scales == | ||
; | ; EDO tunings | ||
* [[Meantone5]] – pentic scale in 31edo | * [[Meantone5]] – pentic scale in 31edo | ||
* [[Meantone7]] – diatonic scale in 19edo and 31edo | * [[Meantone7]] – diatonic scale in 19edo and 31edo | ||
| Line 34: | Line 34: | ||
== Tunings == | == Tunings == | ||
Common meantone tunings can be classified into eigenmonzo tunings, | Common meantone tunings can be classified into eigenmonzo tunings, EDO tunings, prime-optimized tunings and others. In [[eigenmonzo]] tunings such as the [[quarter-comma meantone]], a certain interval is tuned pure and certain others are equally off. EDO tunings like [[31edo]] have rational size relationship between steps, and happen to send an additional comma to unison. Prime-optimized tunings include TE, POTE, CTE, etc. For a more complete list, see the table below. These different tunings are referred to as "temperaments" in traditional terms. | ||
; Eigenmonzo tunings | ; Eigenmonzo tunings | ||
| Line 253: | Line 253: | ||
| | | | ||
| [[19/16]] | | [[19/16]] | ||
| 696. | | 696.340 | ||
| Meanpop | | Meanpop mapping | ||
|- | |- | ||
| | | | ||
| [[17/16]] | | [[17/16]] | ||
| 696.344 | | 696.344 | ||
| Meanpop | | Meanpop mapping | ||
|- | |- | ||
| | | | ||
| Line 370: | Line 370: | ||
| 697.781 | | 697.781 | ||
| | | | ||
|- | |||
| | |||
| [[20/17]] | |||
| 697.929 | |||
| Treating the eigenmonzo as an A2 | |||
|- | |- | ||
| | | | ||
| Line 399: | Line 404: | ||
| 17/15 | | 17/15 | ||
| 698.331 | | 698.331 | ||
| | | Treating the eigenmonzo as a d3 | ||
|- | |- | ||
| | | | ||
| Line 419: | Line 424: | ||
| 45/34 | | 45/34 | ||
| 698.661 | | 698.661 | ||
| | | Treating the eigenmonzo as an A3 | ||
|- | |- | ||
| [[79edo|46\79]] | | [[79edo|46\79]] | ||
| Line 434: | Line 439: | ||
| [[17/16]] | | [[17/16]] | ||
| 699.009 | | 699.009 | ||
| | | Treating the eigenmonzo as a m2 | ||
|- | |- | ||
| | | | ||
| Line 440: | Line 445: | ||
| 699.384 | | 699.384 | ||
| | | | ||
|- | |||
| | |||
| [[24/17]] | |||
| 699.500 | |||
| Treating the eigenmonzo as an A4 | |||
|- | |||
| | |||
| [[18/17]] | |||
| 699.851 | |||
| Treating the eigenmonzo as an A1 | |||
|- | |- | ||
| [[12edo|7\12]] | | [[12edo|7\12]] | ||
| Line 449: | Line 464: | ||
| [[18/17]] | | [[18/17]] | ||
| 700.209 | | 700.209 | ||
| | | Treating the eigenmonzo as a m2 | ||
|- | |- | ||
| | | | ||
| [[19/16]] | | [[19/16]] | ||
| 700.829 | | 700.829 | ||
| | | Treating the eigenmonzo as a m3 | ||
|- | |- | ||
| [[53edo|31\53]] | | [[53edo|31\53]] | ||