User:Fitzgerald Lee/15edo Chord Names: Difference between revisions

Revision as of 12:41, 17 July 2025

Triads
Triad	Approx. JI	Shorthand	Name
[0,2,9]	18:20:27	C2	Suspended Second
[0,3,6]	21:24:28	Cf	Semaphore
[0,3,7]	7/6/5	Cu	Utonal Diminished
[0,3,8]	7:8:10	Ct	Triforce
[0,3,9]	6:7:9	Cs	Subminor
[0,4,7]	5:6:7	Co	Otonal Diminished
[0,4,8]	35:42:50	Cd	Diminished
[0,4,9]	6/5/4	Cm	Minor
[0,5,8]	10/8/7	Cw	Wolf
[0,5,9]	4:5:6	C	Major
[0,5,10]	20:25:32	Ca	Augmented
[0,6,9]	6:8:9	C4	Suspended Fourth

Tertiary extensions
Interval	Approx. JI	Shorthand	Name
9\15	3/2	5	Fifth
10\15	8/5	m	Minor Sixth
11\15	5/3	6	Major Sixth
12\15	7/4	h	Harmonic Seventh
13\15	9/5	n	Neutral Seventh
14\15	15/8	7	Major Seventh

@@ Line 1: / Line 1: @@
-==Chords==
+==Chord Names==
 {| class="wikitable"
 |+ style="font-size: 120%;" |
-Basic Triads
+Triads
 |-
 ! Triad !! Approx. JI !! Shorthand !! Name
@@ Line 29: / Line 29: @@
 |-
 | [0,6,9] || 6:8:9 || C4 || Suspended Fourth
+|}
+{| class="wikitable"
+|+ style="font-size: 120%;" |
+Tertiary extensions
+|-
+! Interval !! Approx. JI !! Shorthand !! Name
+|-
+| 9\15 || 3/2 || 5 || Fifth
+|-
+| 10\15 || 8/5 || m || Minor Sixth
+|-
+| 11\15 || 5/3 || 6 || Major Sixth
+|-
+| 12\15 || 7/4 || h || Harmonic Seventh
+|-
+| 13\15 || 9/5 || n || Neutral Seventh
+|-
+| 14\15 || 15/8 || 7 || Major Seventh
 |-
 |}
-==LH Nice-Ionian vs RH Nice-Ionian==
-Of the two potential major seconds, which one should be used as one? Both are equally away from [[12edo]]’s major second after all, and opinions differ on which one sounds more like a major second. Well, while 3\15 is also used as a kind of minor third in Nice-Ionian, 3\15 is 15edo’s 9/8, as it is two of its [[3/2]]<nowiki/>s stacked and reduced by an octave. These two points will come into play in comparing 15edo’s two possible major scales where we compare the diatonic chords of each scale.