Buzzard

From Xenharmonic Reference
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 equating 147/128 to 15/13, thus tempering out the huntsma, 640/637.


ViewTalkEditRegular temperaments
Rank-2
Acot Blackwood (1/5-octave) • Whitewood (1/7-octave) • Compton (1/12-octave)
Monocot MeantoneSchismicLeapdayArchy
Complexity 2 Diaschismic (diploid monocot) • Pajara (diploid monocot) • Injera (diploid monocot) • Rastmatic (dicot) • Mohajira (dicot) • Intertridecimal (dicot) • Interseptimal (alpha-dicot)
Complexity 3 Augmented (triploid) • Misty (triploid) • Slendric (tricot) • Porcupine (omega-tricot)
Complexity 4 Diminished (tetraploid) • Tetracot (tetracot) • Buzzard (alpha-tetracot) • Squares (beta-tetracot) • Negri (omega-tetracot)
Complexity 5-6 Magic (alpha-pentacot) • Amity (gamma-pentacot) • Kleismic (alpha-hexacot) • Miracle (hexacot)
Higher complexity Orwell (alpha-heptacot) • Sensi (beta-heptacot) • Octacot (octacot) • Wurschmidt (beta-octacot) • Valentine (enneacot) • Ammonite (epsilon-enneacot) • Myna (beta-decacot) • Ennealimmal (enneaploid dicot)
Straddle-3 A-Team (alter-tricot) • Machine (alter-monocot)
No-3 Trismegistus (alpha-triseph) • Orgone (trimech) • Didacus (diseph)
No-octaves Sensamagic (monogem)
Exotemperament DicotMavilaFather
Higher-rank
Rank-3 HemifamityMarvelParapyth

List of patent vals

Edo Fifth tuning 7/4 tuning Generator tuning
23 678.26 991.30 469.57
28 685.71 985.71 471.43
33 690.91 981.82 472.73
38 694.74 978.95 473.68
43 697.67 976.74 474.42
48 700.00 975.00 475.00
101 700.99 974.26 475.25
53 701.89 973.58 475.47
111 702.70 972.97 475.68
58 703.45 972.41 475.86
179 703.91 972.07 475.98
121 704.13 971.90 476.03
184 704.35 971.74 476.09
63 704.76 971.43 476.19
131 705.34 970.99 476.34
68 705.88 970.59 476.47
73 706.85 969.86 476.71
78 707.69 969.23 476.92
83 708.43 968.67 477.11
5 720.00 960.00 480.00