Sycamore family: Difference between revisions

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The ~~head of the~~ '''sycamore family''' is [[~~5-limit~~]] ~~sycamore, which~~ tempers out (~~25/24)<sup>6</sup>/(5/4) =~~ {{monzo| -16 -6 11 }} = 48828125/47775744~~, the~~ [[~~sycamore comma~~]]. Its [[generator]] is a [[25/24|classic chromatic semitone]], and stacking six of these gives 5/4 (and hence five 6/5) and eleven give 3/2. [[94edo]] [[support]]s sycamore, and 5\94 is recommendable as a generator. It can be described as the 19 &~~amp;~~ 94 temperament, and uses a decidedly flat version of the chromatic semitone as a generator. [[Mos]] of 18 or 19 notes to the octave give enough room for sycamore's triads, but 37 notes can be tried by the adventurous.

The '''sycamore family''' of [[regular temperament|temperaments]] tempers out the [[sycamore comma]] ({{monzo|legend=1| -16 -6 11 }}, [[ratio]]: 48828125/47775744).

== Sycamore ==

The head of this family is [[5-limit]] sycamore. Its [[generator]] is a [[25/24|classic chromatic semitone]], and stacking six of these gives 5/4 (and hence five 6/5) and eleven give 3/2. [[94edo]] [[support]]s sycamore, and 5\94 is recommendable as a generator. It can be described as the 19 & 94 temperament, and uses a decidedly flat version of the chromatic semitone as a generator. [[Mos]] of 18 or 19 notes to the octave give enough room for sycamore's triads, but 37 notes can be tried by the adventurous.

Another possible tuning uses a generator which is a near pure 3/2 at 702.162258 [[cent]]s divided into 11 parts, and this makes the generator chain of sycamore exactly the same as [[Carlos Beta]]. In fact, Carlos Beta is characterized by Carlos as taking five steps to reach 6/5 and six to reach 5/4, which means it tempers out the sycamore comma. It can be described as the generator chain of sycamore, or sycamore can be called Carlos Beta with octaves.

~~== Sycamore ==~~

[[Subgroup]]: 2.3.5

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 {{Technical data page}}
-The head of the '''sycamore family''' is [[5-limit]] sycamore, which tempers out (25/24)<sup>6</sup>/(5/4) = {{monzo| -16 -6 11 }} = 48828125/47775744, the [[sycamore comma]]. Its [[generator]] is a [[25/24|classic chromatic semitone]], and stacking six of these gives 5/4 (and hence five 6/5) and eleven give 3/2. [[94edo]] [[support]]s sycamore, and 5\94 is recommendable as a generator. It can be described as the 19 &amp; 94 temperament, and uses a decidedly flat version of the chromatic semitone as a generator. [[Mos]] of 18 or 19 notes to the octave give enough room for sycamore's triads, but 37 notes can be tried by the adventurous.
+The '''sycamore family''' of [[regular temperament|temperaments]] tempers out the [[sycamore comma]] ({{monzo|legend=1| -16 -6 11 }}, [[ratio]]: 48828125/47775744).
+== Sycamore ==
+The head of this family is [[5-limit]] sycamore. Its [[generator]] is a [[25/24|classic chromatic semitone]], and stacking six of these gives 5/4 (and hence five 6/5) and eleven give 3/2. [[94edo]] [[support]]s sycamore, and 5\94 is recommendable as a generator. It can be described as the 19 & 94 temperament, and uses a decidedly flat version of the chromatic semitone as a generator. [[Mos]] of 18 or 19 notes to the octave give enough room for sycamore's triads, but 37 notes can be tried by the adventurous.
 Another possible tuning uses a generator which is a near pure 3/2 at 702.162258 [[cent]]s divided into 11 parts, and this makes the generator chain of sycamore exactly the same as [[Carlos Beta]]. In fact, Carlos Beta is characterized by Carlos as taking five steps to reach 6/5 and six to reach 5/4, which means it tempers out the sycamore comma. It can be described as the generator chain of sycamore, or sycamore can be called Carlos Beta with octaves.
-== Sycamore ==
 [[Subgroup]]: 2.3.5