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'''Ennealimmal temperament''' is a [[regular temperament]] with a period of {{frac|1|9}} octave and tempers out [[2401/2400]] and [[4375/4374]]. Edos that support ennealimmal include {{EDOs| 27, 45, 72, 99, 171, 270, 441, and 612 }}.

See [[Septiennealimmal clan #Ennealimmal]] for technical data.

Ennealimmal scales are built from a ''period'' (which is exactly {{frac|1|9}} of an octave), and a ''generator'' (which is approximately 49 cents and represents several small intervals including 36/35). Depending on the size of the generator and the period in steps, the above listed edos make sense:

{| class="wikitable"
|- style="white-space: nowrap;"
! Period (steps) !! Generator (steps) !! Generator (cents)<br />(pure octave) !! Edo
|-
| 3 || 1 || 44.444 || 27
|-
| 11 || 4 || 48.485 || 99
|-
| 30 || 11 || 48.889 || 270
|-
| 19 || 7 || 49.123 || 171
|-
| 8 || 3 || 50.000 || 72
|-
| 5 || 2 || 53.333 || 45
|}

== Interval chain ==
{| class="wikitable"
|+ style="font-size: 105%;" | Generator based off 11-limit ennealimmal
|- style="white-space: nowrap;"
! Generator
! Period 1
! Period 2
! Period 3
! Period 4
! Period 5
! Period 6
! Period 7
! Period 8
! Period 9 (0)
|-
! 0
| 133.333
| 266.666
| 400.000
| 533.333
| 666.666
| 800.000
| 933.333
| 1066.666
| 1200.000
|-
! &minus;1
| 84.430
| 217.764
| 351.097
| 484.430
| 617.764
| 751.097
| 884.430
| 1017.764
| 1151.097
|-
! &minus;2
| 35.527
| 168.861
| 302.194
| 435.527
| 568.861
| 702.194
| 835.527
| 968.861
| 1102.194
|-
! &minus;3
| 1186.624
| 119.958
| 253.291
| 386.624
| 519.958
| 653.291
| 786.624
| 919.958
| 1053.291
|-
! &minus;4
| 1137.721
| 71.055
| 204.388
| 337.721
| 471.055
| 604.388
| 737.721
| 871.055
| 1004.388
|-
! &minus;5
| 1088.818
| 22.152
| 155.485
| 288.818
| 422.152
| 555.485
| 688.818
| 822.152
| 955.485
|-
! &minus;6
| 1039.915
| 1173.249
| 106.582
| 239.915
| 373.249
| 506.582
| 639.915
| 773.249
| 906.582
|-
! &minus;7
| 991.012
| 1124.346
| 57.679
| 191.012
| 324.346
| 457.679
| 591.012
| 724.346
| 857.679
|-
! &minus;8
| 942.109
| 1075.443
| 8.776
| 142.109
| 275.443
| 408.776
| 542.109
| 675.443
| 808.776
|-
! &minus;9
| 893.206
| 1026.540
| 1159.873
| 93.206
| 226.540
| 359.873
| 493.206
| 626.540
| 759.873
|-
! &minus;10
| 844.303
| 977.637
| 1110.970
| 44.303
| 177.637
| 310.970
| 444.303
| 577.637
| 710.970
|-
! &minus;11
| 795.400
| 928.734
| 1062.067
| 1195.400
| 128.734
| 262.067
| 395.400
| 528.734
| 662.067
|-
! &minus;12
| 746.497
| 879.831
| 1013.164
| 1146.497
| 79.831
| 213.164
| 346.497
| 479.831
| 613.164
|-
! &minus;13
| 697.594
| 830.928
| 964.261
| 1097.594
| 30.928
| 164.261
| 297.594
| 430.928
| 564.261
|-
! &minus;14
| 648.691
| 782.025
| 915.358
| 1048.691
| 1182.025
| 115.358
| 248.691
| 382.025
| 515.358
|-
! &minus;15
| 599.788
| 733.122
| 866.455
| 999.788
| 1133.122
| 66.455
| 199.788
| 333.122
| 466.455
|-
! &minus;16
| 550.885
| 684.219
| 817.552
| 950.885
| 1084.219
| 17.552
| 150.885
| 284.219
| 417.552
|-
! &minus;17
| 501.982
| 635.316
| 768.649
| 901.982
| 1035.316
| 1168.649
| 101.982
| 235.316
| 368.649
|}

== Ennealimmal extensions ==
Ennealimmal temperament has various extensions to the 11-limit. These are all members of the ennealimmal family, but in addition they are linear temperaments:
* Ennealimmal (99e &amp; 270) &ndash; tempering out 2401/2400, 4375/4374, 5632/5625
* Ennealimmia (171 &amp; 270) &ndash; tempering out 2401/2400, 4375/4374, 131072/130977
* Ennealimnic (72 &amp; 99e) &ndash; tempering out 243/242, 441/440, 4375/4356
* Ennealiminal (72 &amp; 171e) &ndash; tempering out 385/384, 1375/1372, 4375/4374

== Scales ==
* [[Ennealimmal27]] &ndash; proper [[18L 9s]]. Ninth-octave analog of haplotonic scale
* [[Ennealimmal45]] &ndash; improper [[27L 18s]]. Ninth-octave analog of mega-haplotonic scale
** [[Ennealimmal45trans]] &ndash; symmetric 5-limit transversal version
* [[Ennealimmal72]] &ndash; proper [[27L 45s]]. Ninth-octave analog of albitonic scale
* [[Ennealimmal99]] &ndash; proper [[72L 27s]]. Ninth-octave analog of chromatic scale
* [[Ennealimmal171]] &ndash; [[99L 72s]] scale. The boundary of propriety is [[270edo]].

== Music ==
; [[Gene Ward Smith]]
* [https://archive.org/details/fingers_201403 ''The 45000 fingers of Dr. S''] (2003) – Ennealimmal[54] in TOP tuning

[[Category:Ennealimmal| ]] <!-- main article -->
[[Category:Rank-2 temperaments]]
[[Category:Breedsmic temperaments]]
[[Category:Ragismic microtemperaments]]
[[Category:Landscape microtemperaments]]