Kalismic temperaments: Difference between revisions

Update keys
Document sif
Line 15: Line 15:
* ''[[Semicanou]]'' (+14641/14580) → [[Canou family #Semicanou|Canou family]]
* ''[[Semicanou]]'' (+14641/14580) → [[Canou family #Semicanou|Canou family]]


Considered below are odin, loki, van gogh, rishi, hnoss, and gersemi, but for the rank-4 temperament, see [[Rank-4 temperament #Kalismic (9801/9800)]].
Considered below are odin, lycoris, van gogh, hnoss, sif, loki, pessoal and rishi. For the rank-4 temperament, see [[Rank-4 temperament #Kalismic (9801/9800)]].


== Odin ==
== Odin ==
Line 181: Line 181:


Badness: 1.23 × 10<sup>-3</sup>
Badness: 1.23 × 10<sup>-3</sup>
== Sif ==
[[Subgroup]]: 2.3.5.7.11
[[Comma list]]: 9801/9800, 2097152/2096325
{{Mapping|legend=1| 2 0 1 7 11 | 0 1 0 1 -1 | 0 0 4 -5 -1 }}
: mapping generators: ~99/70, ~3
[[Optimal tuning]] ([[CTE]]): ~99/70 = 1\2, ~3/2 = 701.9492, ~48/35 = 546.6041
{{Optimal ET sequence|legend=1| 22, 46, 68, 114, 134, 156, 178, 202, 224, 270, 494, 742, 764, 966, 1236, 1506, 2742, 3236, 3506, 4742d, 10990ccdde, 15732ccdddee }}
[[Badness]]: 0.423 × 10<sup>-3</sup>
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 4096/4095, 6656/6655, 9801/9800
Mapping: {{mapping| 2 0 1 7 11 16 | 0 1 0 1 -1 -3 | 0 0 4 -5 -1 1 }}
Optimal tuning (CTE): ~99/70 = 1\2, ~3/2 = 701.9902, ~48/35 = 546.6064
{{Optimal ET sequence|legend=1| 22, 46, 156f, 178, 202f, 224, 270, 494, 764, 1012, 1236, 1506, 3236, 3506, 4742df, 6248cdf, 8248cdef, 12990ccddeff, 14496ccdddeeff }}
Badness: 0.339 × 10<sup>-3</sup>


== Loki ==
== Loki ==