Buzzard
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Buzzard is a temperament that splits a tempered perfect twelfth (3/1) into four generators of 21/16 subfourths, tempering out 65536/64827.
If harmonic 5 is desired, it is found by twenty-one generators octave-reduced, tempering out 1728/1715 and 5120/5103. It extends to the 13-limit by tempering out 176/175, 351/350, 540/539, and 676/675.
Buzzard was named by Herman Miller in 2004[1].
See Vulture family #Buzzard for technical data.
Interval chain
In the following table, odd harmonics and subharmonics 1–21 are in bold.
| # | Cents* | Approximate ratios | |
|---|---|---|---|
| 13-limit | 19-limit extension | ||
| 0 | 0.00 | 1/1 | |
| 1 | 475.68 | 21/16 | |
| 2 | 951.35 | 26/15 | 19/11 |
| 3 | 227.03 | 8/7 | |
| 4 | 702.70 | 3/2 | |
| 5 | 1178.38 | 63/32, 160/81 | |
| 6 | 454.06 | 13/10 | |
| 7 | 929.73 | 12/7 | |
| 8 | 205.41 | 9/8 | |
| 9 | 681.08 | 40/27 | |
| 10 | 1156.76 | 35/18, 39/20, 96/49 | |
| 11 | 432.44 | 9/7 | |
| 12 | 908.11 | 22/13, 27/16 | |
| 13 | 183.79 | 10/9 | |
| 14 | 659.46 | 35/24 | 19/13 |
| 15 | 1135.14 | 27/14 | |
| 16 | 410.82 | 33/26 | 19/15 |
| 17 | 886.49 | 5/3 | |
| 18 | 162.17 | 11/10 | |
| 19 | 637.84 | 13/9 | |
| 20 | 1113.52 | 40/21 | 19/10 |
| 21 | 389.20 | 5/4 | |
| 22 | 864.87 | 33/20 | 28/17 |
| 23 | 140.55 | 13/12 | |
| 24 | 616.22 | 10/7 | |
| 25 | 1091.90 | 15/8 | 32/17 |
| 26 | 367.58 | 26/21 | 21/17 |
| 27 | 843.25 | 13/8 | |
| 28 | 118.93 | 15/14 | |
* In 13-limit CWE tuning