Rodan: Difference between revisions

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 See [[Gamelismic clan #Rodan]] for more information.
-== Notation ==
+== Interval chain ==
-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 second. The [[enharmonic unisons in ups and downs notation|enharmonic unison]] is a triple-down minor second. Thus three ups equals a diatonic semitone, and three generators equals a perfect fifth. In rodan in particular, ^1 equals ~81/80 and ~64/63, and ^^1 equals ~33/32 and ~[[1053/1024]].
+When speaking of interval categories, as an extension of slendric it is possible to use a system [[Slendric#Interval categories|designed for slendric]], where notes are inflected from the diatonic [[chain of fifths]] by means of the prefixes "super" and "sub", such that three of these inflections stack to a diatonic minor second. These "super" and "sub" prefixes are equivalent to "up" and "down" in [[#Notation|the notation]] system, but can disambiguate from "up" and "down" symbols from [[ups and downs notation]] in the context of larger rodan edos that map this comma to multiple edosteps.
-{| class="wikitable center-1 center-3"
-|+ style="font-size: 105%;" | Rodan nomenclature<br>for selected intervals
-|-
-! Ratio
-! Nominal
-! Example
-|-
-| 3/2
-| Perfect fifth
-| C−G
-|-
-| 5/4
-| Down major third
-| C−vE
-|-
-| 7/4
-| Down minor seventh
-| C−vB♭
-|-
-| 11/8
-| Double-up fourth
-| C−^^F
-|-
-| 13/8
-| Double-up minor sixth
-| C−^^A♭
-|}
-Rodan's notation has much in common with that for 41edo and 46edo, since both edos map a minor second to three edosteps. It also resembles the notation for [[cassandra]]. All four notations notate the slendric tetrad (1–8/7–21/16–3/2) on C as C–^D–vF–G, and all four notations notate 5/4, 7/4, 11/8, and 13/8 as in the table above. But the notations diverge for other intervals, such as 11/10.
-It is also possible, specifically when speaking of interval categories, to use the "super" and "sub" prefixes in lieu of "up" and "down", as in the interval chain below and in the context of larger rodan edos that map this comma to multiple edosteps.
-== Interval chain ==
 In the following table, odd harmonics and subharmonics 1–21 are in '''bold'''.
@@ Line 247: / Line 214: @@
 * [[Rodan31opt]]
 * [[Rodan41opt]]
+== Notation ==
+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 second. The [[enharmonic unisons in ups and downs notation|enharmonic unison]] is a triple-down minor second. Thus three ups equals a diatonic semitone, and three generators equals a perfect fifth. 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"
+|+ style="font-size: 105%;" | Rodan nomenclature<br>for selected intervals
+|-
+! Ratio
+! Nominal
+! Example
+|-
+| 3/2
+| Perfect fifth
+| C−G
+|-
+| 5/4
+| Down major third
+| C−vE
+|-
+| 7/4
+| Down minor seventh
+| C−vB♭
+|-
+| 11/8
+| Double-up fourth
+| C−^^F
+|-
+| 13/8
+| Double-up minor sixth
+| C−^^A♭
+|}
+Rodan's notation has much in common with that for 41edo and 46edo, since both edos map a minor second to three edosteps. It also resembles the notation for [[cassandra]]. All four notations notate the slendric tetrad (1–8/7–21/16–3/2) on C as C–^D–vF–G, and all four notations notate 5/4, 7/4, 11/8, and 13/8 as in the table above. But the notations diverge for other intervals, such as 11/10.
 == Tunings ==