No-fives subgroup temperaments: Difference between revisions

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Leapfrog: Connected the two names
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Withdraw "undecimal" and "tridecimal" in favor of "io" and "superflat", respectively.
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== Temperaments with a 2.3.11 gene ==
== Temperaments with a 2.3.11 gene ==
=== Io aka undecimal ===
=== Io ===
Io is a very low-complexity temperament which tempers out the undecimal quartertone [[33/32]], and with a generator representing both [[3/2]] and [[16/11]]. It may be considered an [[exotemperament]] by some definitions and not one by others. It has an extremely wide generator range, but the most accurate tunings are generally inside the range of [[flattone]] temperament.
Io is a very low-complexity temperament which tempers out the undecimal quartertone [[33/32]], and with a generator representing both [[3/2]] and [[16/11]]. It may be considered an [[exotemperament]] by some definitions and not one by others. It has an extremely wide generator range, but the most accurate tunings are generally inside the range of [[flattone]] temperament.


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== Temperaments with a 2.3.13 gene ==
== Temperaments with a 2.3.13 gene ==
=== Superflat aka tridecimal ===
=== Superflat ===
Superflat temperament, or alternatively, tridecimal temperament, is a diatonic-based temperament that makes [[1053/1024]] vanish, so [[13/8]] is a minor sixth, and [[16/13]] is a major third. The more accurate tunings for this temperament are generated by a fifth at least as flat as those of [[flattone]], although often even flatter (such as [[40edo]]'s fifth). Superflat can be viewed as a 2.3.13 subgroup analogue of [[meantone]] and [[archy]]. Superflat diatonic scales have a character somewhere between neutral third scales (or [[3L 4s|mosh]]) and meantone diatonic scales.
Superflat is a diatonic-based temperament that makes [[1053/1024]] vanish, so [[13/8]] is a minor sixth, and [[16/13]] is a major third. The more accurate tunings for this temperament are generated by a fifth at least as flat as those of [[flattone]], although often even flatter (such as [[40edo]]'s fifth). Superflat can be viewed as a 2.3.13 subgroup analogue of [[meantone]] and [[archy]]. Superflat diatonic scales have a character somewhere between neutral third scales (or [[3L 4s|mosh]]) and meantone diatonic scales.


[[Subgroup]]: 2.3.13
[[Subgroup]]: 2.3.13