Septisemi temperaments: Difference between revisions
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- CTE & POTE tunings |
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== Fluorine == | == Fluorine == | ||
: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Avila]].'' | |||
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[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
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{{Mapping|legend=1| 1 0 -7 -5 | 0 1 6 5 }} | {{Mapping|legend=1| 1 0 -7 -5 | 0 1 6 5 }} | ||
: mapping generators: ~2, ~3 | |||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
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[[Category:Temperament collections]] | [[Category:Temperament collections]] | ||
[[Category:Septisemi temperaments| ]] <!-- main article --> | [[Category:Septisemi temperaments| ]] <!-- main article --> | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||
Latest revision as of 12:31, 27 November 2025
- This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.
This is a collection of very low complexity temperaments tempering out the septimal minor semitone, 21/20, and hence equating 5/3 with 7/4, and 10/7 with 3/2.
Temperaments discussed elsewhere are:
- Mother (+16/15) → Father family
- Sharptone (+28/27) → Meantone family
- Pelogic (+135/128) → Mavila family
- Flattie (+25/24) → Dicot family
- Beep (+27/25) → Bug family
- Deflated (+128/125) → Augmented family
- Gidorah (+144/125) → Gamelismic clan
- Oxygen (+175/162) → Very low accuracy temperaments
Considered below are fluorine and sodium.
Fluorine
- For the 5-limit version, see Miscellaneous 5-limit temperaments #Avila.
Subgroup: 2.3.5.7
Comma list: 21/20, 243/224
Mapping: [⟨1 0 -7 -5], ⟨0 1 6 5]]
- mapping generators: ~2, ~3
- WE: ~2 = 1211.420 ¢, ~3/2 = 669.369 ¢
- error map: ⟨+11.420 -21.165 +18.481 -21.980]
- CWE: ~2 = 1200.000 ¢, ~3/2 = 665.210 ¢
- error map: ⟨0.000 -36.745 +4.945 -42.777]
Optimal ET sequence: 2c, 7c, 9, 20bdd, 29bdd
Badness (Sintel): 1.41
Sodium
Subgroup: 2.3.5.7
Comma list: 21/20, 54/49
Mapping: [⟨1 1 1 2], ⟨0 2 5 3]]
- mapping generators: ~2, ~7/6
- WE: ~2 = 1207.624 ¢, ~7/6 = 322.216 ¢
- error map: ⟨+7.624 -49.898 +32.393 +13.072]
- CWE: ~2 = 1200.000 ¢, ~7/6 = 322.210 ¢
- error map: ⟨0.000 -57.535 +24.737 -2.196]
Badness (Sintel): 1.41