353edo: Difference between revisions

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In the original Hebrew calendar, years number 3, 6, 8, 11, 14, 17, and 19 within a 19-year pattern are leap. When converted to [[19edo]], this results in [[5L 2s]] mode, and simply the diatonic major scale.

Following this logic, a temperament can be constructed for the Rectified Hebrew calendar (see below), containing 130 notes of the 353edo scale. Hebrew[130] scale ~~can be described~~ as ~~18 19-edo scales completed by~~ a ~~single 4 out of 11 scale of [[11edo]]~~, or alternately, 19 ~~[[11edo]] cycles merged with 18 octaeteris~~-~~type [[8edo]] cycles~~. ~~This makes it~~ a ~~[[93L 37s]] MOS scale~~.

Following this logic, a temperament can be constructed for the Rectified Hebrew calendar (see below), containing 130 notes of the 353edo scale. Hebrew[130] scale has 334\353 as its generator, which is a supermajor seventh, or alternately, 19\353, about a third-tone, since inverting the generator has no effect on the scale. The generator and the EDO itself have a relationship that 334 was originally proposed for HC improvement, not 353 (see link below).

Using such small of a generator helps explore the 353edo's "upside down" side.

== Scales ==

* Hebrew[130]

* Hebrew[223] – the complement

== See also ==

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== Links ==

* [[Wikipedia: Octaeteris]]

* [https://individual.utoronto.ca/kalendis/hebrew/rect.htm Rectified Hebrew Calendar]

[[Category:Equal divisions of the octave]]

[[Category:Didacus]]

@@ Line 11: / Line 11: @@
 In the original Hebrew calendar, years number 3, 6, 8, 11, 14, 17, and 19 within a 19-year pattern are leap. When converted to [[19edo]], this results in [[5L 2s]] mode, and simply the diatonic major scale.
-Following this logic, a temperament can be constructed for the Rectified Hebrew calendar (see below), containing 130 notes of the 353edo scale. Hebrew[130] scale can be described as 18 19-edo scales completed by a single 4 out of 11 scale of [[11edo]], or alternately, 19 [[11edo]] cycles merged with 18 octaeteris-type [[8edo]] cycles. This makes it a [[93L 37s]] MOS scale.
+Following this logic, a temperament can be constructed for the Rectified Hebrew calendar (see below), containing 130 notes of the 353edo scale. Hebrew[130] scale has 334\353 as its generator, which is a supermajor seventh, or alternately, 19\353, about a third-tone, since inverting the generator has no effect on the scale. The generator and the EDO itself have a relationship that 334 was originally proposed for HC improvement, not 353 (see link below).
+Using such small of a generator helps explore the 353edo's "upside down" side.
 == Scales ==
 * Hebrew[130]
-* Hebrew[223] – the complement
 == See also ==
@@ Line 22: / Line 23: @@
 == Links ==
-* [[Wikipedia: Octaeteris]]
 * [https://individual.utoronto.ca/kalendis/hebrew/rect.htm Rectified Hebrew Calendar]
 [[Category:Equal divisions of the octave]]
 [[Category:Didacus]]