Septisemi temperaments: Difference between revisions

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m +subgroup data
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= Fluorine =
= Fluorine =


Period: 1\1
Subgroup: 2.3.5.7
 
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;">
[[Comma list]]: 21/20, 243/224
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">


Subgroup: 2.3.5.7
[[Mapping]]: [{{val| 1 0 -7 -5 }}, {{val| 0 1 6 5 }}]


Comma list: 21/20, 243/224
{{Multival|legend=1| 1 6 5 7 5 -5 }}


Mapping: [{{val| 1 0 -7 -5 }}, {{val| 0 1 6 5 }}]
[[POTE generator]]: ~3/2 = 663.059
 
Wedgie: {{wedgie| 1 6 5 7 5 -5 }}


{{Val list|legend=1| 9, 20bd, 29bd }}
{{Val list|legend=1| 9, 20bd, 29bd }}


Badness: 0.0556
[[Badness]]: 0.0556


</div></div>
</div></div>
Line 34: Line 24:
= Sodium =
= Sodium =


Period: 1\1
Subgroup: 2.3.5.7
 
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">


Subgroup: 2.3.5.7
[[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 }}]
{{Multival|legend=1| 2 5 3 3 -1 -7 }}


Wedgie: {{wedgie| 2 5 3 3 -1 -7 }}
[[POTE generator]]: ~7/6 = 320.182


{{Val list|legend=1| 4, 11, 15b }}
{{Val list|legend=1| 4, 11, 15b }}


Badness: 0.0558
[[Badness]]: 0.0558
 
</div></div>


= Oxygen =
= Oxygen =


Period: 1\1
Subgroup: 2.3.5.7


Optimal ([[POTE]]) generator: ~7/6 = 169.112
[[Comma list]]: 21/20, 175/162


EDO generators: [[8edo|1\7]], [[8edo|1\8]]
[[Mapping]]: [{{val| 1 2 3 3 }}, {{val| 0 -3 -5 -2 }}]


Scales (Scala files):
{{Multival|legend=1| 3 5 2 1 -5 -9 }}


<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
[[POTE generator]]: ~7/6 = 169.112
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">
 
Subgroup: 2.3.5.7
 
Comma list: 21/20, 175/162
 
Mapping: [{{val| 1 2 3 3 }}, {{val| 0 -3 -5 -2 }}]
 
Wedgie: {{wedgie| 3 5 2 1 -5 -9 }}


{{Val list|legend=1| 7d, 8 }}
{{Val list|legend=1| 7d, 8 }}


Badness: 0.0599
[[Badness]]: 0.0599
 
</div></div>


[[Category:Theory]]
[[Category:Theory]]

Revision as of 10:08, 27 March 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

Subgroup: 2.3.5.7

Comma list: 21/20, 243/224

Mapping: [1 0 -7 -5], 0 1 6 5]]

Wedgie⟨⟨ 1 6 5 7 5 -5 ]]

POTE generator: ~3/2 = 663.059

Template:Val list

Badness: 0.0556

Sodium

Subgroup: 2.3.5.7

Comma list: 21/20, 54/49

Mapping: [1 1 1 2], 0 2 5 3]]

Wedgie⟨⟨ 2 5 3 3 -1 -7 ]]

POTE generator: ~7/6 = 320.182

Template:Val list

Badness: 0.0558

Oxygen

Subgroup: 2.3.5.7

Comma list: 21/20, 175/162

Mapping: [1 2 3 3], 0 -3 -5 -2]]

Wedgie⟨⟨ 3 5 2 1 -5 -9 ]]

POTE generator: ~7/6 = 169.112

Template:Val list

Badness: 0.0599