Rodan: Difference between revisions

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== Notation ==

A notation for rodan ~~can be devised by identifying what~~ is ~~common~~ in ~~41edo and 46edo. Below is one using [[circle-of-fifths notation]] with an additional module of arrow accidentals to represent~~ the ~~syntonic~septimal comma. This~~ notation ~~looks exactly like that~~ for [[~~cassandra~~]], ~~but it~~ is ~~peculiar to rodan that~~ three ~~comma steps make up~~ a diatonic semitone, and ~~thus the slendric tetrad (~~1-8/~~7-21~~/~~16-3~~/~~2) on C is C-^D-vF-G, for example~~.

A notation for rodan is listed in the notation guide for rank-2 pergens under [[pergen]] #8, (P8, P5/3). The generator is an upmajor 2nd. The enharmonic interval 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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|-

| 5/4

| ~~Down major~~ third

| Downmajor third

| C-vE

|-

| 7/4

| ~~Down minor~~ seventh

| Downminor seventh

| C-vBb

|-

| 11/8

| ~~Double-up~~ fourth

| Dup fourth

| C-^^F

|-

| 13/8

| ~~Double-up minor~~ sixth

| Dupminor sixth

| C-^^Ab

|}

Rodan's notation has much in common with that for 41edo and 46edo, since both edos map a minor 2nd 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, for example 11/10.

== Chords ==

@@ Line 149: / Line 149: @@
 == Notation ==
-A notation for rodan can be devised by identifying what is common in 41edo and 46edo. Below is one using [[circle-of-fifths notation]] with an additional module of arrow accidentals to represent the syntonic~septimal comma. This notation looks exactly like that for [[cassandra]], but it is peculiar to rodan that three comma steps make up a diatonic semitone, and thus the slendric tetrad (1-8/7-21/16-3/2) on C is C-^D-vF-G, for example.
+A notation for rodan is listed in the notation guide for rank-2 pergens under [[pergen]] #8, (P8, P5/3). The generator is an upmajor 2nd. The enharmonic interval 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 162: / Line 162: @@
 |-
 | 5/4
-| Down major third
+| Downmajor third
 | C-vE
 |-
 | 7/4
-| Down minor seventh
+| Downminor seventh
 | C-vBb
 |-
 | 11/8
-| Double-up fourth
+| Dup fourth
 | C-^^F
 |-
 | 13/8
-| Double-up minor sixth
+| Dupminor sixth
 | C-^^Ab
 |}
+Rodan's notation has much in common with that for 41edo and 46edo, since both edos map a minor 2nd 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, for example 11/10.
 == Chords ==