5L 2s/Temperaments: Difference between revisions
Cmloegcmluin (talk | contribs) update w/r/t final conclusions of discussion with Milne and others |
Cmloegcmluin (talk | contribs) adding parenthetical "(unchanged intervals)" to eigenmonzo lists |
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* [[7-odd-limit]] | * [[7-odd-limit]] | ||
: [{{Monzo| 1 0 0 0 }}, {{Monzo| 21/13 0 1/13 -1/13 }}, {{Monzo| 32/13 0 4/13 -4/13 }}, {{Monzo| 32/13 0 -9/13 9/13 }}] | : [{{Monzo| 1 0 0 0 }}, {{Monzo| 21/13 0 1/13 -1/13 }}, {{Monzo| 32/13 0 4/13 -4/13 }}, {{Monzo| 32/13 0 -9/13 9/13 }}] | ||
: [[Eigenmonzo]]s: 2, 7/5 | : [[Eigenmonzo]]s (unchanged intervals): 2, 7/5 | ||
* [[9-odd-limit]] | * [[9-odd-limit]] | ||
: [{{Monzo| 1 0 0 0 }}, {{Monzo| 17/11 2/11 0 -1/11 }}, {{Monzo| 24/11 8/11 0 -4/11 }}, {{Monzo| 34/11 -18/11 0 9/11 }}] | : [{{Monzo| 1 0 0 0 }}, {{Monzo| 17/11 2/11 0 -1/11 }}, {{Monzo| 24/11 8/11 0 -4/11 }}, {{Monzo| 34/11 -18/11 0 9/11 }}] | ||
: Eigenmonzos: 2, 9/7 | : Eigenmonzos (unchanged intervals): 2, 9/7 | ||
[[Tuning ranges]]: | [[Tuning ranges]]: | ||
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* 7- and [[9-odd-limit]] | * 7- and [[9-odd-limit]] | ||
: [{{Monzo| 1 0 0 0 }}, {{Monzo| 1 0 1/4 0 }}, {{Monzo| 0 0 1 0 }}, {{Monzo| -3 0 5/2 0 }}] | : [{{Monzo| 1 0 0 0 }}, {{Monzo| 1 0 1/4 0 }}, {{Monzo| 0 0 1 0 }}, {{Monzo| -3 0 5/2 0 }}] | ||
: [[Eigenmonzo]]s: 2, 5 | : [[Eigenmonzo]]s (unchanged intervals): 2, 5 | ||
[[Tuning ranges]]: | [[Tuning ranges]]: | ||
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* [[11-odd-limit]]: 1/4 comma | * [[11-odd-limit]]: 1/4 comma | ||
: [{{Monzo| 1 0 0 0 0 }}, {{Monzo| 1 0 1/4 0 0 }}, {{Monzo| 0 0 1 0 0 }}, {{Monzo| -3 0 5/2 0 0 }}, {{Monzo| 11 0 -13/4 0 0 }}] | : [{{Monzo| 1 0 0 0 0 }}, {{Monzo| 1 0 1/4 0 0 }}, {{Monzo| 0 0 1 0 0 }}, {{Monzo| -3 0 5/2 0 0 }}, {{Monzo| 11 0 -13/4 0 0 }}] | ||
: [[Eigenmonzo]]s: 2, 5 | : [[Eigenmonzo]]s (unchanged intervals): 2, 5 | ||
Tuning ranges: | Tuning ranges: | ||
| Line 319: | Line 319: | ||
* [[11-odd-limit]] | * [[11-odd-limit]] | ||
: [{{Monzo| 1 0 0 0 0 }}, {{Monzo| 25/16 -1/8 0 0 1/16 }}, {{Monzo| 9/4 -1/2 0 0 1/4 }}, {{Monzo| 21/8 -5/4 0 0 5/8 }}, {{Monzo| 25/8 -9/4 0 0 9/8 }}] | : [{{Monzo| 1 0 0 0 0 }}, {{Monzo| 25/16 -1/8 0 0 1/16 }}, {{Monzo| 9/4 -1/2 0 0 1/4 }}, {{Monzo| 21/8 -5/4 0 0 5/8 }}, {{Monzo| 25/8 -9/4 0 0 9/8 }}] | ||
: [[Eigenmonzo]]s: 2, 11/9 | : [[Eigenmonzo]]s (unchanged intervals): 2, 11/9 | ||
Tuning ranges: | Tuning ranges: | ||