15ed4: Difference between revisions

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~~=Basics=~~

15ED4 is a macrotonal tuning system that divides the double-octave (4/1) into 15 equally spaced pitches each about 160 cents apart. It can be viewed as a subset of 15 EDO that repeats at two octaves rather than one. It ~~has a big xen appeal as it~~ is ~~non octave 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 11/8 rather well~~.

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

~~=MOS Scales=~~

Lookalikes: [[12edt]]

~~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~~

= =

== 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

| 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:15ed4]]~~

[[Category:macrotonal]]

~~[[Category:nonoctave]]~~

@@ Line 1: / Line 1: @@
-=Basics=
+{{Infobox ET}}
-ED4 is a macrotonal tuning system that divides the double-octave (4/1) into 15 equally spaced pitches each about 160 cents apart. It can be viewed as a subset of 15 EDO that repeats at two octaves rather than one. It has a big xen appeal as it is non octave 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 11/8 rather well.
+{{ED intro}} It is every second step of [[15edo]].
-=MOS Scales=
+Lookalikes: [[12edt]]
-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
-= =
+== 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
+| 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:15ed4]]
 [[Category:macrotonal]]
-[[Category:nonoctave]]