Ripple family: Difference between revisions

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→Cohemiripple: +data copied from sensamagic clan
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= Cohemiripple =
= Cohemiripple =
{{see also| Sensamagic clan #Cohemiripple }}
{{see also| Sensamagic clan #Cohemiripple }}
Period: 1\1
Optimal ([[POTE]]) generators: ~7/5 = 549.944
EDO generators: [[11edo|5\11]], [[13edo|6\13]], [[12edo|11\24]]
Scales:
<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
Subgroup: 2.3.5.7


Comma list: 245/243, 1323/1250
Comma list: 245/243, 1323/1250
POTE generator: ~7/5 = 549.944


Mapping: [{{val| 1 7 11 12 }}, {{val| 0 -10 -16 -17 }}]
Mapping: [{{val| 1 7 11 12 }}, {{val| 0 -10 -16 -17 }}]
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Badness: 0.1902
Badness: 0.1902
</div></div>


== 11-limit ==
== 11-limit ==
Period: 1\1
Optimal ([[POTE]]) generators: ~7/5 = 549.945
EDO generators: [[11edo|5\11]], [[13edo|6\13]], [[12edo|11\24]]
Scales:
<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: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Comma list: 77/75, 243/242, 245/242
Comma list: 77/75, 243/242, 245/242
POTE generator: ~7/5 = 549.945


Mapping: [{{val| 1 7 11 12 17 }}, {{val| 0 -10 -16 -17 -25 }}]
Mapping: [{{val| 1 7 11 12 17 }}, {{val| 0 -10 -16 -17 -25 }}]
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Badness: 0.0827
Badness: 0.0827
</div></div>


== 13-limit ==
== 13-limit ==
Period: 1\1
Optimal ([[POTE]]) generators: ~7/5 = 549.958
EDO generators: [[11edo|5\11]], [[13edo|6\13]], [[12edo|11\24]]
Scales:
<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: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Comma list: 66/65, 77/75, 147/143, 243/242
Comma list: 66/65, 77/75, 147/143, 243/242
POTE generator: ~7/5 = 549.958


Mapping: [{{val| 1 7 11 12 17 14 }}, {{val| 0 -10 -16 -17 -25 -19 }}]
Mapping: [{{val| 1 7 11 12 17 14 }}, {{val| 0 -10 -16 -17 -25 -19 }}]
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Badness: 0.0499
Badness: 0.0499
</div></div>


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

Revision as of 02:35, 17 March 2021

The ripple family tempers out the ripple, 6561/6250 = [-1 8 -5⟩, which equates a stack of four 10/9's with 8/5. As one might expect, 12edo is about as accurate as it can be.

Ripple

Period: 1\1

Optimal (POTE) generators: ~27/25 = 100.838

EDO generators: 1\11, 1\12, 1\13

Scales:

Technical data

Comma list: 6561/6250

Mapping: [⟨1 2 3], ⟨0 -5 -8]]

Template:Val list

Badness: 0.1389

7-limit

See also: Mint temperaments § Ripple

Period: 1\1

Optimal (POTE) generators: ~21/20 = 99.483

EDO generators: 1\11, 1\12, 1\13

Scales:

Technical data

Comma list: 36/35, 2560/2401

Mapping: [⟨1 2 3 3], ⟨0 -5 -8 -2]]

Wedgie: ⟨⟨ 5 8 2 1 -11 -18 ]]

Template:Val list

Badness: 0.0597

11-limit

Period: 1\1

Optimal (POTE) generators: ~21/20 = 99.385

EDO generators: 1\11, 1\12, 1\13

Scales:

Technical data

Comma list: 36/35, 80/77, 126/121

Mapping: [⟨1 2 3 3 4], ⟨0 -5 -8 -2 -6]]

Template:Val list

Badness: 0.0388

13-limit

Period: 1\1

Optimal (POTE) generators: ~21/20 = 98.572

EDO generators: 1\11, 1\12, 1\13

Scales:

Technical data

Comma list: 36/35, 40/39, 66/65, 147/143

Mapping: [⟨1 2 3 3 4 4], ⟨0 -5 -8 -2 -6 -3]]

Template:Val list

Badness: 0.0316

Hemiripple

See also: Slendro clan § Hemiripple

Period: 1\1

Optimal (POTE) generator: ~36/35 = 50.826

EDO generators: 1\23, 1\24

Scales (Scala files):

Technical data

Subgroup: 2.3.5.7

Comma list: 49/48, 6561/6250

Mapping: [⟨1 2 3 3], ⟨0 -10 -16 -5]]

Wedgie: ⟨⟨10 16 5 2 -20 -33]]

Template:Val list

Badness: 0.1751

11-limit

Period: 1\1

Optimal (POTE) generator: ~36/35 = 50.826

EDO generators: 1\23, 1\24

Scales (Scala files):

Technical data

Subgroup: 2.3.5.7.11

Comma list: 49/48, 121/120, 567/550

Mapping: [⟨1 2 3 3 4], ⟨0 -10 -16 -5 -13]]

Template:Val list

Badness: 0.0668

13-limit

Period: 1\1

Optimal (POTE) generator: ~36/35 = 50.635

EDO generators: 1\23, 1\24

Scales (Scala files):

Technical data

Subgroup: 2.3.5.7.11.13

Comma list: 49/48, 66/65, 121/120, 351/350

Mapping: [⟨1 2 3 3 4 4], ⟨0 -10 -16 -5 -13 -7]]

Template:Val list

Badness: 0.0466

Cohemiripple

See also: Sensamagic clan § Cohemiripple

Period: 1\1

Optimal (POTE) generators: ~7/5 = 549.944

EDO generators: 5\11, 6\13, 11\24

Scales:

Technical data

Subgroup: 2.3.5.7

Comma list: 245/243, 1323/1250

Mapping: [⟨1 7 11 12], ⟨0 -10 -16 -17]]

Wedgie: ⟨⟨ 10 16 17 2 -1 -5 ]]

Template:Val list

Badness: 0.1902

11-limit

Period: 1\1

Optimal (POTE) generators: ~7/5 = 549.945

EDO generators: 5\11, 6\13, 11\24

Scales:

Technical data

Subgroup: 2.3.5.7.11

Comma list: 77/75, 243/242, 245/242

Mapping: [⟨1 7 11 12 17], ⟨0 -10 -16 -17 -25]]

Template:Val list

Badness: 0.0827

13-limit

Period: 1\1

Optimal (POTE) generators: ~7/5 = 549.958

EDO generators: 5\11, 6\13, 11\24

Scales:

Technical data

Subgroup: 2.3.5.7.11.13

Comma list: 66/65, 77/75, 147/143, 243/242

Mapping: [⟨1 7 11 12 17 14], ⟨0 -10 -16 -17 -25 -19]]

Template:Val list

Badness: 0.0499

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