Buzzard: Difference between revisions

From Xenharmonic Reference
Created page with "{{Infobox regtemp | Title = Buzzard | Subgroups = 2.3.7, 2.3.5.7, 2.3.5.7.11.13 | Comma basis = 65536/64827 (2.3.7); <br>1728/1715, 5120/5103 (7-limit);<br>176/175, 351/350, 540/539, 676/675<br>(13-limit) | Edo join 1 = 53 | Edo join 2 = 58 | Mapping = 1; 4 21 -3 39 27 | Generators = 21/16 | Generators tuning = 475.7 | Optimization method = CWE | MOS scales = 3L 2s | Ploidacot = alpha-tetracot | Pergen = | Color name = | Odd limit 1 = 2.3.7..."
 
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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 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.
{{Infobox regtemp}}
{{Cat|Regular temperaments}}

Revision as of 21:25, 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 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
Subgroups
Reduced mapping ⟨]
ET join
Generators ([[]])
MOS scales n/a
Ploidacot n/a
Comma basis
Minimax error -integer-limit: ¢
Target scale size -integer-limit: notes