Zeus: Difference between revisions
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See[[ | See [[Porwell family #Zeus]] for technical data. | ||
== Spectrum of zeus tunings by eigenmonzos == | |||
This spectrum assumes pure 2 and 7/5. | |||
Gencom: [2 3 11/10; 121/120 176/175 351/350] | Gencom: [2 3 11/10; 121/120 176/175 351/350] | ||
Line 5: | Line 9: | ||
Gencom Mapping: [<1 0 1 4 2 7|, <0 1 1 -1 1 -2|, <0 0 -2 3 -1 -1|] | Gencom Mapping: [<1 0 1 4 2 7|, <0 1 1 -1 1 -2|, <0 0 -2 3 -1 -1|] | ||
{| class="wikitable center-1 right-2 right-3" | |||
{| class="wikitable" | |||
|- | |- | ||
! | ! Eigenmonzo | ||
! | ! 3/2 | ||
! | ! 5/4 | ||
! Comments | |||
|- | |- | ||
| 12/11 | |||
| 685.337 | |||
| 384.062 | |||
| | |||
|- | |- | ||
| 15/11 | |||
| 689.089 | |||
| 384.813 | |||
| | |||
|- | |- | ||
| 5/4 | |||
| 696.593 | |||
| 386.314 | |||
| | |||
|- | |- | ||
| 11/9 | |||
| 697.207 | |||
| 386.436 | |||
| | |||
|- | |- | ||
| 14/13 | |||
| 700.880 | |||
| 387.171 | |||
| | |||
|- | |- | ||
| 16/15 | |||
| 701.061 | |||
| 387.207 | |||
| | |||
|- | |- | ||
| 15/13 | |||
| 701.179 | |||
| 387.231 | |||
| | |||
|- | |- | ||
| 16/13 | |||
| 701.237 | |||
| 387.243 | |||
| | |||
|- | |- | ||
| 13/12 | |||
| 701.449 | |||
| 387.285 | |||
| | |||
|- | |- | ||
| 18/13 | |||
| 701.564 | |||
| 387.308 | |||
| | |||
|- | |- | ||
| 4/3 | |||
| 701.955 | |||
| 387.386 | |||
| 7-, 9- and 15-odd-limit minimax | |||
|- | |- | ||
| 10/9 | |||
| 702.551 | |||
| 387.505 | |||
| 11- and 13-odd-limit minimax | |||
|- | |- | ||
| 6/5 | |||
| 703.296 | |||
| 387.654 | |||
| | |||
|- | |- | ||
| 13/11 | |||
| 703.597 | |||
| 387.714 | |||
| | |||
|- | |- | ||
| 11/8 | |||
| 713.034 | |||
| 389.602 | |||
| | |||
|- | |- | ||
| 11/10 | |||
| 721.254 | |||
| 391.246 | |||
| | |||
|} | |} | ||
[[Category:Zeus| ]] <!-- main article --> | |||
[[Category:Porwell family]] | |||
[[Category:Biyatismic temperaments]] | |||
[[Category:Valinorsmic temperaments]] | |||
{{IoT}} | |||
{{todo| intro }} |
Revision as of 08:57, 15 June 2021
See Porwell family #Zeus for technical data.
Spectrum of zeus tunings by eigenmonzos
This spectrum assumes pure 2 and 7/5.
Gencom: [2 3 11/10; 121/120 176/175 351/350]
Gencom Mapping: [<1 0 1 4 2 7|, <0 1 1 -1 1 -2|, <0 0 -2 3 -1 -1|]
Eigenmonzo | 3/2 | 5/4 | Comments |
---|---|---|---|
12/11 | 685.337 | 384.062 | |
15/11 | 689.089 | 384.813 | |
5/4 | 696.593 | 386.314 | |
11/9 | 697.207 | 386.436 | |
14/13 | 700.880 | 387.171 | |
16/15 | 701.061 | 387.207 | |
15/13 | 701.179 | 387.231 | |
16/13 | 701.237 | 387.243 | |
13/12 | 701.449 | 387.285 | |
18/13 | 701.564 | 387.308 | |
4/3 | 701.955 | 387.386 | 7-, 9- and 15-odd-limit minimax |
10/9 | 702.551 | 387.505 | 11- and 13-odd-limit minimax |
6/5 | 703.296 | 387.654 | |
13/11 | 703.597 | 387.714 | |
11/8 | 713.034 | 389.602 | |
11/10 | 721.254 | 391.246 |