15ed4: Difference between revisions

Line 1:

~~'''15ED4'''~~ is ~~the [[Ed4|equal division of the double octave]] into 15 parts of 160 [[cent|cents]] each (~~every second step of [[15edo]]).

{{ED intro}} It is every second step of [[15edo]].

Lookalikes: [[12edt]]

=Basics=

== Basics ==

15ED4 is a macrotonal tuning system that divides the double octave (4/1) into 15 equally spaced pitches each 160 cents apart. It can be viewed as a subset of 15 EDO that repeats at two octaves rather than one. It has [[The Xen|a big xen]] appeal as it is nonoctave but at the same time contains the double octave allowing for a sort of best of both worlds approach. 15ED4 doesn't do Just Intonation well for the most part but it does represent 7/4 and 11/10 rather well, so it can be viewed as a 3.4.7.10.11 subgroup temperament tempering out 28/27, 49/48, 55/54, and 77/75 (as well as [[12edt|12EDT]]).

~~{{harmonics in equal|15|4|columns=14}}~~

=MOS Scales=

== Harmonics ==

There are a variety of Mos scales available. William Lynch considers the symmetrical MOS: LsLsLsLs to be the most consonant scale in 15ED4. There is also a LsLLsLLLs scale which is more spacey sounding than the symmetrical MOS. The symmetrical MOS can be harmonized with c

{{Harmonics in equal

| steps = 15

| num = 4

| denom = 1

}}

{{Harmonics in equal

| steps = 15

| num = 4

| denom = 1

| start = 12

| collapsed = 1

}}

== MOS Scales ==

There are a variety of Mos scales available. William Lynch considers the symmetrical MOS: LsLsLsLs to be the most consonant scale in 15ED4. There is also a LsLLsLLLs scale which is more spacey sounding than the symmetrical MOS. The symmetrical MOS can be harmonized with c.

== Intervals ==

[[Category:macrotonal]]

[[Category:Ed4]]

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-'''15ED4''' is the [[Ed4|equal division of the double octave]] into 15 parts of 160 [[cent|cents]] each (every second step of [[15edo]]).
+{{ED intro}} It is every second step of [[15edo]].
 Lookalikes: [[12edt]]
-=Basics=
+== Basics ==
 ED4 is a macrotonal tuning system that divides the double octave (4/1) into 15 equally spaced pitches each 160 cents apart. It can be viewed as a subset of 15 EDO that repeats at two octaves rather than one. It has [[The Xen|a big xen]] appeal as it is nonoctave but at the same time contains the double octave allowing for a sort of best of both worlds approach. 15ED4 doesn't do Just Intonation well for the most part but it does represent 7/4 and 11/10 rather well, so it can be viewed as a 3.4.7.10.11 subgroup temperament tempering out 28/27, 49/48, 55/54, and 77/75 (as well as [[12edt|12EDT]]).
-{{harmonics in equal|15|4|columns=14}}
-=MOS Scales=
+== Harmonics ==
-There are a variety of Mos scales available. William Lynch considers the symmetrical MOS: LsLsLsLs to be the most consonant scale in 15ED4. There is also a LsLLsLLLs scale which is more spacey sounding than the symmetrical MOS. The symmetrical MOS can be harmonized with c
+{{Harmonics in equal
+| steps = 15
+| num = 4
+| denom = 1
+}}
+{{Harmonics in equal
+| steps = 15
+| num = 4
+| denom = 1
+| start = 12
+| collapsed = 1
+}}
+== MOS Scales ==
+There are a variety of Mos scales available. William Lynch considers the symmetrical MOS: LsLsLsLs to be the most consonant scale in 15ED4. There is also a LsLLsLLLs scale which is more spacey sounding than the symmetrical MOS. The symmetrical MOS can be harmonized with c.
+== Intervals ==
+{{Interval table}}
 [[Category:macrotonal]]
 [[Category:Ed4]]