Buzzard: Difference between revisions

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| Odd limit 2 = 15 | Mistuning 2 = 4.09 | Complexity 2 = 43
| Odd limit 2 = 15 | Mistuning 2 = 4.09 | Complexity 2 = 43
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'''Buzzard''' is a 2.3.7 temperament that splits 3/1 into four sharpened 21/16 subfourths. It can be considered the simplest non-[[Slendric]] 2.3.7 temperament since it equates two 64/63's with one 49/48. Since Buzzard sharpens 147/128, it can be extended to 2.3.7.13/5 by tempering out the huntsma, 640/637.
'''Buzzard''' is a 2.3.7 temperament that splits 3/1 into four sharpened 21/16 subfourths. It can be considered the "simplest 2.3.7 temperament after [[Slendric]]" since it equates two (not one) 64/63's with one 49/48. Since Buzzard sharpens 147/128, it can be extended to 2.3.7.13/5 by tempering out the huntsma, 640/637.
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Revision as of 21:26, 24 February 2026

Buzzard
Subgroups 2.3.7, 2.3.5.7, 2.3.5.7.11.13
Reduced mapping ⟨1; 4 21 -3 39 27]
ET join 53 & 58
Generators (CWE) ~21/16 = 475.7¢
MOS scales 3L 2s
Ploidacot alpha-tetracot
Comma basis 65536/64827 (2.3.7);
1728/1715, 5120/5103 (7-limit);
176/175, 351/350, 540/539, 676/675
(13-limit)
Minimax error 2.3.7 9-odd-limit: 3.42¢;
15-odd-limit: 4.09¢
Target scale size 2.3.7 9-odd-limit: 13 notes;
15-odd-limit: 43 notes

Buzzard is a 2.3.7 temperament that splits 3/1 into four sharpened 21/16 subfourths. It can be considered the "simplest 2.3.7 temperament after Slendric" since it equates two (not one) 64/63's with one 49/48. Since Buzzard sharpens 147/128, it can be extended to 2.3.7.13/5 by tempering out the huntsma, 640/637.