Llywelynsmic clan: Difference between revisions

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Created page with "The '''llywelyn clan''' tempers out the no-threes llywelyn comma, {{Monzo|22 0 -1 -7}} = 4194304/4117715. == Llywelyn == Subgroup: 2.5.7 Comma list: 4194304/4117715..."
 
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{{Val list|legend=1| 5, 11c, 16, 21, 37 }}
{{Val list|legend=1| 5, 11c, 16, 21, 37 }}
====2.5.7.11====
Subgroup: 2.5.7.11


[[Comma]]: 176/175, 1310720/1294139
[[Gencom]]: [2 8/7; 176/175 1310720/1294139]
[[Gencom|Gencom mapping]]: [{{val|1 0 1 3 1}}, {{val|0 0 7 -1 13}}]
[[Mapping|Sval mapping]]: [{{val|1 1 3 1}}, {{val|0 7 -1 13}}]
[[Tp tuning|POL2 generator]]: ~8/7 = 227.114
{{Val list|legend=1| 16, 21, 37 }}
====2.5.7.11.13====
Subgroup: 2.5.7.11
[[Comma]]: 176/175, 640/637, 1304576/1294139
[[Gencom]]: [2 8/7; 176/175 640/637, 1304576/1294139]
[[Gencom|Gencom mapping]]: [{{val|1 0 1 3 1 2}}, {{val|0 0 7 -1 13 9}}]
[[Mapping|Sval mapping]]: [{{val|1 1 3 1 2}}, {{val|0 7 -1 13 9}}]
[[Tp tuning|POL2 generator]]: ~8/7 = 227.108
{{Val list|legend=1| 16, 21, 37 }}
====2.5.7.11.13.17====
Subgroup: 2.5.7.11
[[Comma]]: 176/175, 221/200, 640/637, 833/832
[[Gencom]]: [2 8/7; 176/175 221/200, 640/637, 833/832]
[[Gencom|Gencom mapping]]: [{{val|1 0 1 3 1 2 2}}, {{val|0 0 7 -1 13 9 11}}]
[[Mapping|Sval mapping]]: [{{val|1 1 3 1 2 2}}, {{val|0 7 -1 13 9 11}}]
[[Tp tuning|POL2 generator]]: ~8/7 = 227.242
{{Val list|legend=1| 16, 21, 37 }}
=== Extensions ===
=== Extensions ===
Full 7-limit [[extension]]s of llywelyn temperament include:
Full 7-limit [[extension]]s of llywelyn temperament include:

Revision as of 15:59, 8 December 2021

The llywelyn clan tempers out the no-threes llywelyn comma, [22 0 -1 -7⟩ = 4194304/4117715.

Llywelyn

Subgroup: 2.5.7

Comma list: 4194304/4117715

Sval mapping: [⟨1 1 3], ⟨0 7 -1]]

Mapping generators: 2, ~8/7

Gencom mapping: [⟨1 0 1 3], ⟨0 0 7 -1]]

Gencom: [2 8/7; 4194304/4117715]

POTE generator: ~8/7 = 226.910

Template:Val list

2.5.7.11

Subgroup: 2.5.7.11

Comma: 176/175, 1310720/1294139

Gencom: [2 8/7; 176/175 1310720/1294139]

Gencom mapping: [⟨1 0 1 3 1], ⟨0 0 7 -1 13]]

Sval mapping: [⟨1 1 3 1], ⟨0 7 -1 13]]

POL2 generator: ~8/7 = 227.114

Template:Val list

2.5.7.11.13

Subgroup: 2.5.7.11

Comma: 176/175, 640/637, 1304576/1294139

Gencom: [2 8/7; 176/175 640/637, 1304576/1294139]

Gencom mapping: [⟨1 0 1 3 1 2], ⟨0 0 7 -1 13 9]]

Sval mapping: [⟨1 1 3 1 2], ⟨0 7 -1 13 9]]

POL2 generator: ~8/7 = 227.108

Template:Val list

2.5.7.11.13.17

Subgroup: 2.5.7.11

Comma: 176/175, 221/200, 640/637, 833/832

Gencom: [2 8/7; 176/175 221/200, 640/637, 833/832]

Gencom mapping: [⟨1 0 1 3 1 2 2], ⟨0 0 7 -1 13 9 11]]

Sval mapping: [⟨1 1 3 1 2 2], ⟨0 7 -1 13 9 11]]

POL2 generator: ~8/7 = 227.242

Template:Val list

Extensions

Full 7-limit extensions of llywelyn temperament include:

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