Rodan: Difference between revisions

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'''Rodan''' is a [[temperament]] of the [[gamelismic clan]] and one of the notable [[extension]]s to [[slendric]]. Like slendric, it is generated by an [[8/7]], three of which gives [[3/2]]. In addition it finds [[5/1|harmonic 5]] at +17 generator steps, and the second defining comma for it is [[245/243]].

'''Rodan''' is a [[regular temperament|temperament]] of the [[gamelismic clan]] and one of the notable [[extension]]s to [[slendric]]. Like slendric, it is generated by an [[8/7]], three of which gives [[3/2]]. In addition it finds [[5/1|harmonic 5]] at +17 generator steps, and the second defining comma for it is [[245/243]].

Reasonable tunings would be between [[41edo]] and [[46edo]]. [[87edo]] makes for a very recommendable option.

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! rowspan="2" | #

! rowspan="2" | Cents*

! colspan="2" | Approximate ~~Ratios~~

! colspan="2" | Approximate ratios

|-

! 13-limit

! 17-limit ~~Extension~~

! 17-limit extension

|-

| 0

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|

|}

<nowiki />* In 13-limit POTE tuning

<nowiki/>* In 13-limit POTE tuning

== Notation ==

A notation for rodan is listed in the notation guide for rank-2 pergens under [[pergen]]~~ &~~#~~35;~~8, (P8,~~ ~~P5/3). The generator is an upmajor 2nd. The [[~~Enharmonic~~ unisons in ups and downs notation|enharmonic unison]] is a trudminor 2nd, thus three ups equals a diatonic semitone, and three generators equals a perfect 5th. In rodan in particular, ^1 equals ~81/80 and ~64/63, and ^^1 equals ~33/32 and ~[[1053/1024]].

A notation for rodan is listed in the notation guide for rank-2 pergens under [[pergen]] #8, {{nowrap|(P8, P5/3)}}. The generator is an upmajor 2nd. The [[enharmonic unisons in ups and downs notation|enharmonic unison]] is a trudminor 2nd, thus three ups equals a diatonic semitone, and three generators equals a perfect 5th. In rodan in particular, ^1 equals ~81/80 and ~64/63, and ^^1 equals ~33/32 and ~[[1053/1024]].

{| class="wikitable center-1 center-3"

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{| class="wikitable center-all left-4"

|-

! Edo ~~Generator~~

! Edo generator

! [[Eigenmonzo|Eigenmonzo (~~Unchanged~~-interval)]]

! [[Eigenmonzo|Eigenmonzo (unchanged-interval)]]

! Fifth (¢)

! Fifth (¢)

! Comments

|-

@@ Line 1: / Line 1: @@
-'''Rodan''' is a [[temperament]] of the [[gamelismic clan]] and one of the notable [[extension]]s to [[slendric]]. Like slendric, it is generated by an [[8/7]], three of which gives [[3/2]]. In addition it finds [[5/1|harmonic 5]] at +17 generator steps, and the second defining comma for it is [[245/243]].
+'''Rodan''' is a [[regular temperament|temperament]] of the [[gamelismic clan]] and one of the notable [[extension]]s to [[slendric]]. Like slendric, it is generated by an [[8/7]], three of which gives [[3/2]]. In addition it finds [[5/1|harmonic 5]] at +17 generator steps, and the second defining comma for it is [[245/243]].
 Reasonable tunings would be between [[41edo]] and [[46edo]]. [[87edo]] makes for a very recommendable option.
@@ Line 12: / Line 12: @@
 ! rowspan="2" | #
 ! rowspan="2" | Cents*
-! colspan="2" | Approximate Ratios
+! colspan="2" | Approximate ratios
 |-
 ! 13-limit
-! 17-limit Extension
+! 17-limit extension
 |-
 | 0
@@ Line 147: / Line 147: @@
 |
 |}
-<nowiki />* In 13-limit POTE tuning
+<nowiki/>* In 13-limit POTE tuning
 == Notation ==
-A notation for rodan is listed in the notation guide for rank-2 pergens under [[pergen]]&nbsp;&#35;8, (P8,&nbsp;P5/3). The generator is an upmajor 2nd. The [[Enharmonic unisons in ups and downs notation|enharmonic unison]] is a trudminor 2nd, thus three ups equals a diatonic semitone, and three generators equals a perfect 5th. In rodan in particular, ^1 equals ~81/80 and ~64/63, and ^^1 equals ~33/32 and ~[[1053/1024]].
+A notation for rodan is listed in the notation guide for rank-2 pergens under [[pergen]] #8, {{nowrap|(P8, P5/3)}}. The generator is an upmajor 2nd. The [[enharmonic unisons in ups and downs notation|enharmonic unison]] is a trudminor 2nd, thus three ups equals a diatonic semitone, and three generators equals a perfect 5th. In rodan in particular, ^1 equals ~81/80 and ~64/63, and ^^1 equals ~33/32 and ~[[1053/1024]].
 {| class="wikitable center-1 center-3"
@@ Line 201: / Line 201: @@
 {| class="wikitable center-all left-4"
 |-
-! Edo<br />Generator
+! Edo<br>generator
-! [[Eigenmonzo|Eigenmonzo<br />(Unchanged-interval)]]
+! [[Eigenmonzo|Eigenmonzo<br>(unchanged-interval)]]
-! Fifth<br />(¢)
+! Fifth<br>(¢)
 ! Comments
 |-