Septisemi temperaments: Difference between revisions
+discussed elsewhere |
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= Fluorine = | = Fluorine = | ||
Period: 1\1 | |||
Optimal ([[POTE]]) generator: ~3/2 = 663.059 | |||
EDO generators: [[9edo|5\9]] | |||
Scales (Scala files): | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Technical data</div> | |||
<div class="mw-collapsible-content"> | |||
Comma list: 21/20, 243/224 | Comma list: 21/20, 243/224 | ||
Mapping: [{{val| 1 0 -7 -5 }}, {{val| 0 1 6 5 }}] | Mapping: [{{val| 1 0 -7 -5 }}, {{val| 0 1 6 5 }}] | ||
| Line 16: | Line 27: | ||
Badness: 0.0556 | Badness: 0.0556 | ||
</div></div> | |||
= Sodium = | = Sodium = | ||
Period: 1\1 | |||
Optimal ([[POTE]]) generator: ~7/6 = 320.182 | |||
EDO generators: [[11edo|3\11]] | |||
Scales (Scala files): | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Technical data</div> | |||
<div class="mw-collapsible-content"> | |||
Comma list: 21/20, 54/49 | Comma list: 21/20, 54/49 | ||
Mapping: [{{val| 1 1 1 2 }}, {{val| 0 2 5 3 }}] | Mapping: [{{val| 1 1 1 2 }}, {{val| 0 2 5 3 }}] | ||
| Line 29: | Line 53: | ||
Badness: 0.0558 | Badness: 0.0558 | ||
</div></div> | |||
= Oxygen = | = Oxygen = | ||
Period: 1\1 | |||
Optimal ([[POTE]]) generator: ~7/6 = 169.112 | |||
EDO generators: [[8edo|1\7]], [[8edo|1\8]] | |||
Scales (Scala files): | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Technical data</div> | |||
<div class="mw-collapsible-content"> | |||
Comma list: 21/20, 175/162 | Comma list: 21/20, 175/162 | ||
Mapping: [{{val| 1 2 3 3 }}, {{val| 0 -3 -5 -2 }}] | Mapping: [{{val| 1 2 3 3 }}, {{val| 0 -3 -5 -2 }}] | ||
| Line 42: | Line 79: | ||
Badness: 0.0599 | Badness: 0.0599 | ||
</div></div> | |||
[[Category:Theory]] | [[Category:Theory]] | ||
Revision as of 07:39, 13 February 2021
These are very low complexity temperaments tempering out the minor septimal semitone, 21/20, and hence equating 5/3 with 7/4, and 10/7 with 3/2.
Discussed elsewhere are mother, flat, beep, sharptone and pelogic.
Fluorine
Period: 1\1
Optimal (POTE) generator: ~3/2 = 663.059
EDO generators: 5\9
Scales (Scala files):
Comma list: 21/20, 243/224
Mapping: [⟨1 0 -7 -5], ⟨0 1 6 5]]
Wedgie: ⟨⟨1 6 5 7 5 -5]]
Badness: 0.0556
Sodium
Period: 1\1
Optimal (POTE) generator: ~7/6 = 320.182
EDO generators: 3\11
Scales (Scala files):
Comma list: 21/20, 54/49
Mapping: [⟨1 1 1 2], ⟨0 2 5 3]]
Wedgie: ⟨⟨2 5 3 3 -1 -7]]
Badness: 0.0558
Oxygen
Period: 1\1
Optimal (POTE) generator: ~7/6 = 169.112
Scales (Scala files):
Comma list: 21/20, 175/162
Mapping: [⟨1 2 3 3], ⟨0 -3 -5 -2]]
Wedgie: ⟨⟨3 5 2 1 -5 -9]]
Badness: 0.0599