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639edo is [[consistency|distinctly consistent]] in the [[17-odd-limit]]. It has a sharp tendency, with [[harmonic]]s 3 to 17 all tuned sharp. The 639h [[val]] gives a reasonable approximation of [[19/1|harmonic 19]], in which the edo is almost consistent up to the [[25-odd-limit]], with the exception of [[19/16]] and [[25/16]] themselves and their [[octave complement]]s.  
639edo is [[consistency|distinctly consistent]] in the [[17-odd-limit]]. It has a sharp tendency, with [[harmonic]]s 3 to 17 all tuned sharp. The 639h [[val]] gives a reasonable approximation of [[19/1|harmonic 19]], in which the edo is almost consistent up to the [[25-odd-limit]], with the exception of [[19/16]] and [[25/16]] themselves and their [[octave complement]]s.  


Using this val, the equal temperament [[tempering out|tempers out]] {{monzo| 1 27 -18 }} ([[ennealimma]]) and {{monzo| 55 -1 -23 }} ([[counterwürschmidt comma]]) in the 5-limit; [[2401/2400]] and [[4375/4374]] in the 7-limit; [[5632/5625]] and [[19712/19683]] in the 11-limit; [[2080/2079]] and [[4459/4455]] in the 13-limit; [[1156/1155]], [[2058/2057]], and [[2601/2600]] in the 17-limit; [[1216/1215]], [[1445/1444]], [[1540/1539]], [[2376/2375]], and [[2926/2925]] in the 19-limit. It [[support]]s [[ennealimmal]] and its 13-limit extension enneabiotic.  
Using this val, the equal temperament [[tempering out|tempers out]] {{monzo| 1 27 -18 }} ([[ennealimma]]) and {{monzo| 55 -1 -23 }} ([[counterwürschmidt comma]]) in the [[5-limit]]; [[2401/2400]] and [[4375/4374]] in the [[7-limit]]; [[5632/5625]] and [[19712/19683]] in the [[11-limit]]; [[2080/2079]] and [[4459/4455]] in the [[13-limit]]; [[1156/1155]], [[2058/2057]], and [[2601/2600]] in the [[17-limit]]; [[1216/1215]], [[1445/1444]], [[1540/1539]], [[2376/2375]], and [[2926/2925]] in the [[19-limit]]; and [[1288/1287]], [[1496/1495]] among others in the [[23-limit]]. It [[support]]s [[ennealimmal]] and its 13-limit extension enneabiotic.  


=== Prime harmonics ===
=== Prime harmonics ===
{{Harmonics in equal|639|columns=11}}
{{Harmonics in equal|639|columns=11}}
{{Harmonics in equal|639|columns=11|start=12|collapsed=true|title=Approximation of prime harmonics in 639edo (continued)}}


=== Subsets and supersets ===
=== Subsets and supersets ===
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| 2.3.5.7.11.13.17.19
| 2.3.5.7.11.13.17.19
| 1156/1155, 1216/1215, 1445/1444, 2058/2057, 2080/2079, 2376/2375, 2401/2400
| 1156/1155, 1216/1215, 1445/1444, 2058/2057, 2080/2079, 2376/2375, 2401/2400
| {{Mapping| 639 1013 1484 1794 2211 2365 2612, 2715 }} (639h)
| {{Mapping| 639 1013 1484 1794 2211 2365 2612 2715 }} (639h)
| −0.1618
| −0.1618
| 0.0971
| 0.0971
| 5.17
| 5.17
|-
| 2.3.5.7.11.13.17.19.23
| 1156/1155, 1216/1215, 1288/1287, 1445/1444, 1496/1495, 2058/2057, 2080/2079, 2376/2375
| {{Mapping| 639 1013 1484 1794 2211 2365 2612 2715 2891 }} (639h)
| −0.1643
| 0.0919
| 4.89
|}
|}


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|-
|-
| 9
| 9
| 168\639<br>(26\639)
| 26\639
| 315.49<br>(48.83)
| 48.83
| 6/5<br>(36/35)
| 36/35
| [[Ennealimmal]] / enneabiotic
| [[Ennealimmal]] / enneabiotic
|}
|}
<nowiki/>* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct
<nowiki/>* In [[normal forms #Minimal-generator form|minimal-generator form]]
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