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#redirect [[Tetracot family #Bunya]]
{{Infobox regtemp
| Title = Bunya
| Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13
| Comma basis = [[225/224]], [[15625/15309]] (7-limit);<br>[[100/99]], [[225/224]], [[243/242]] (11-limit)<br>[[100/99]], [[144/143]], [[225/224]], [[243/242]]<br>(13-limit)
| Edo join 1 = 34d | Edo join 2 = 41
| Mapping = 1; 4 9 26 10 -2
| Generators = 10/9
| Generators tuning = 175.9
| Optimization method = CWE
| MOS scales = [[6L 1s]], [[7L 6s]], [[7L 13s]], [[7L 20s]]
| Odd limit 1 = 9 | Mistuning 1 = 6.58 | Complexity 1 = 27
| Odd limit 2 = 13 | Mistuning 2 = 10.9 | Complexity 2 = 34
}}
The '''bunya''' [[regular temperament|temperament]] is one of the [[7-limit]] [[extension]]s of [[tetracot]], the [[5-limit]] temperament [[tempering out]] the [[tetracot comma]] (20000/19683), and is naturally a full [[13-limit]] temperament.


{{Todo|inline=1|expand}}
== Interval chain ==
In the following tables, odd harmonics 1–13 and their inverses are in '''bold'''.
{| class="wikitable right-1 right-2"
|-
! #
! Cents*
! Approximate ratios
|-
| 0
| 0.00
| '''1/1'''
|-
| 1
| 175.89
| 10/9, 11/10
|-
| 2
| 351.77
| 11/9, '''16/13'''
|-
| 3
| 527.66
| 15/11
|-
| 4
| 703.54
| '''3/2'''
|-
| 5
| 879.43
| 5/3
|-
| 6
| 1055.31
| 11/6, 24/13
|-
| 7
| 31.20
| 40/39, 45/44, 55/54, 56/55
|-
| 8
| 207.09
| '''9/8'''
|-
| 9
| 382.97
| '''5/4'''
|-
| 10
| 558.86
| '''11/8''', 18/13
|-
| 11
| 734.74
| 20/13
|-
| 12
| 910.63
| 22/13
|-
| 13
| 1086.52
| 15/8, 28/15
|-
| 14
| 62.40
| 25/24, 27/26, 28/27, 33/32
|-
| 15
| 238.29
| 15/13
|-
| 16
| 414.17
| 14/11
|-
| 17
| 590.06
| 7/5
|-
| 18
| 765.94
| 14/9
|-
| 19
| 941.83
|
|-
| 20
| 1117.72
| 21/11
|-
| 21
| 93.60
| 21/20
|-
| 22
| 269.49
| 7/6
|-
| 23
| 445.37
|
|-
| 24
| 621.26
|
|-
| 25
| 797.15
|
|-
| 26
| 973.03
| '''7/4'''
|-
| 27
| 1148.92
| 35/18
|-
| 28
| 124.80
| 14/13
|}
<nowiki/>* In 13-limit POTE tuning, octave reduced
== Tunings ==
=== Tuning spectrum ===
{| class="wikitable center-all left-3"
|-
! [[Eigenmonzo|Eigenmonzo<br>(unchanged-interval)]]
! Generator (¢)
! Comments
|-
| 11/10
| 165.004
|
|-
| 11/9
| 173.704
|
|-
| 12/11
| 174.894
|
|-
| 11/8
| 175.132
|
|-
| 15/14
| 175.427
|
|-
| 7/5
| 175.442
| 11-odd-limit minimax
|-
| 4/3
| 175.489
|
|-
| 8/7
| 175.724
|
|-
| 7/6
| 175.767
| 7-odd-limit minimax
|-
| 9/7
| 175.829
| 9-odd-limit minimax
|-
| 13/11
| 175.899
| 13- and 15-odd-limit minimax
|-
| 14/13
| 176.011
|
|-
| 16/15
| 176.021
|
|-
| 14/11
| 176.094
|
|-
| 5/4
| 176.257
| 5-odd-limit minimax
|-
| 18/13
| 176.338
|
|-
| 15/13
| 176.516
|
|-
| 6/5
| 176.872
|
|-
| 13/10
| 176.890
|
|-
| 13/12
| 176.905
|
|-
| 15/11
| 178.984
|
|-
| 16/13
| 179.736
|
|-
| 10/9
| 182.404
|
|}
[[Category:Bunya| ]] <!-- main article -->
[[Category:Rank-2 temperaments]]
[[Category:Rank-2 temperaments]]
[[Category:Tetracot family]]
[[Category:Tetracot family]]
[[Category:Marvel temperaments]]
[[Category:Marvel temperaments]]
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