Buzzard: Difference between revisions

← Older edit

VisualWikitext

@@ Line 1: / Line 1: @@
-#REDIRECT [[Vulture family #Buzzard]]
+'''Buzzard''' is a [[regular temperament|temperament]] that splits a tempered [[3/1|perfect twelfth (3/1)]] into four [[generator]]s of [[21/16]] subfourths, tempering out [[65536/64827]].
-[[Category:Temperaments]]
+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<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10541.html#10551 Yahoo! Tuning Group (Archive) | ''Names for important high-complexity temperaments'']</ref>.
+See [[Buzzardsmic clan #Buzzard]] and [[Buzzardsmic clan #Septimal buzzard]] for technical data.
+== Interval chain ==
+In the following table, odd harmonics and subharmonics 1–21 are in '''bold'''.
+{| class="wikitable center-1 right-2"
+|-
+! rowspan="2" | #
+! rowspan="2" | Cents*
+! colspan="2" | 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
+|
+|}
+<nowiki/>* In 13-limit CWE tuning
+== Chords ==
+{{Main| Chords of buzzard }}
+== Notes ==
+[[Category:Buzzard| ]] <!-- main article -->
+[[Category:Rank-2 temperaments]]
 [[Category:Vulture family]]
+[[Category:Orwellismic temperaments]]
 [[Category:Hemifamity temperaments]]
-[[Category:Buzzard]]