User:CompactStar/Ed11/5: Difference between revisions
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The simplest chord that is possible without 2's or 3's that fits in 11/5 is 7:11:13, so it can be viewed as the fundamental sonority of no-twos-or-threes music. It is also the smallest option that is not extremely dissonant, as 5:7:11 contains a [[7/5]] tritone creating a strong dissonance. In this case, three [[13/7]]'s fall short of [[11/7]] by [[847/845]]. Tempering out this comma together with the additional comma 637/625 creates a [[rank-2 temperament]] in the no-twos-or-threes 13-limit that can be viewed as an analog to [[meantone]]. It possesses [[MOS scale]]s of the form 1L 3s<11/5>, 4L 1s<11/5>, 5L 4s<11/5>, and 5L 9s<11/5>. | The simplest chord that is possible without 2's or 3's that fits in 11/5 is 7:11:13, so it can be viewed as the fundamental sonority of no-twos-or-threes music. It is also the smallest option that is not extremely dissonant, as 5:7:11 contains a [[7/5]] tritone creating a strong dissonance. In this case, three [[13/7]]'s fall short of [[11/7]] by [[847/845]]. Tempering out this comma together with the additional comma 637/625 creates a [[rank-2 temperament]] in the no-twos-or-threes 13-limit that can be viewed as an analog to [[meantone]]. It possesses [[MOS scale]]s of the form 1L 3s<11/5>, 4L 1s<11/5>, 5L 4s<11/5>, and 5L 9s<11/5>. | ||
== Individual pages for | == ED11/5-EDO correspondence == | ||
{|class="wikitable" | |||
|- | |||
!ED11/5 | |||
!EDO | |||
|- | |||
|[[8ed11/5]] | |||
|[[7edo]] | |||
|- | |||
|[[16ed11/5]] | |||
|[[14edo]] | |||
|- | |||
|[[24ed11/5]] | |||
|[[21edo]] | |||
|- | |||
|[[25ed11/5]] | |||
|[[22edo]] | |||
|- | |||
|[[33ed11/5]] | |||
|[[29edo]] | |||
|} | |||
== Individual pages for ED11/5s == | |||
* [[2ed11/5]] | * [[2ed11/5]] | ||
* [[3ed11/5]] | * [[3ed11/5]] | ||
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* [[13ed11/5]] | * [[13ed11/5]] | ||
* [[14ed11/5]] | * [[14ed11/5]] | ||
[[Category:Ed11/5]] | [[Category:Ed11/5]] | ||
[[Category:Nonoctave]] | [[Category:Nonoctave]] | ||
[[Category:Equal-step tunings]] | [[Category:Equal-step tunings]] | ||