Catalog of rank-4 temperaments: Difference between revisions
+ vishdelismic (5632/5625) |
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Badness (Sintel): 2.63 | Badness (Sintel): 2.63 | ||
== Nexus (1771561/1769472) == | |||
[[Subgroup]]: 2.3.5.7.11 | |||
[[Comma list]]: 1771561/1769472 | |||
{{Mapping|legend=1| 3 0 0 0 8 | 0 2 0 0 1 | 0 0 1 0 0 | 0 0 0 1 0 }} | |||
: mapping generators: ~121/96, ~1331/768, ~5, ~7 | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~121/96 = 400.0154{{c}}, ~3/2 = 950.9883{{c}}, ~5/4 = 386.2216{{c}}, ~7/4 = 968.7338{{c}} | |||
: [[error map]]: {{val| +0.046 +0.022 -0.000 -0.000 -0.207 }} | |||
* [[CWE]]: ~121/96 = 400.0000{{c}}, ~3/2 = 950.9685{{c}}, ~5/4 = 386.2485{{c}}, ~7/4 = 968.7470{{c}} | |||
: error map: {{val| 0.000 -0.018 -0.065 -0.079 -0.349 }} | |||
{{Optimal ET sequence|legend=1| 9, 15, 24, 33cd, 39(d), 48, 57, 63, 72, 159, 183, 198, 255, 270, 342, 612, 954, 1566, 2091e, 2361e, 2433e, 2703e, 3045e, 3315ee, 3657ee }} | |||
[[Badness]] (Sintel): 10.7 | |||
=== Commas 676/675, 6656/6655 === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 676/675, 6656/6655 | |||
Mapping: {{mapping| 3 0 0 0 8 -3 | 0 2 0 0 1 3 | 0 0 1 0 0 1 | 0 0 0 1 0 0 }} | |||
Optimal tunings: | |||
* WE: ~121/96 = 400.0003{{c}}, ~3/2 = 951.0845{{c}}, ~5/4 = 386.5832{{c}}, ~7/4 = 968.8238{{c}} | |||
* CWE: ~121/96 = 400.0000{{c}}, ~3/2 = 951.0840{{c}}, ~5/4 = 386.5837{{c}}, ~7/4 = 968.8241{{c}} | |||
{{Optimal ET sequence|legend=0| 9, 15, 24, 39c/df, 48c, 57f, 63, 72, 87, 111, 159, 183, 198, 270 }} | |||
Badness (Sintel): 1.69 | |||
== Quartismic (117440512/117406179) == | == Quartismic (117440512/117406179) == | ||