19ed11/5: Difference between revisions

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~~19ed11/5 fails to produce acceptable approximations of any of the small harmonics. However, it does approximate harmonics 7, 8 and 9 very well.~~

~~Using 3 steps of~~ 19ed11/5 ~~(215.527 cents) as a generator, and 47 steps~~ of ~~19ed11/5 (3376~~.~~589) as a period~~, ~~you get the~~ 7.8.9 ~~regular temperament with the lowest badness using x31eq's default settings~~.

19ed11/5 fails to produce acceptable approximations of any small harmonics. However, it does approximate harmonics 7, 8 and 9 very well.

~~This temperament doesn't have a name, but perhaps it could be called Sixscared (because 7.8.9). In that case, you could think of~~ 19ed11/5 ~~as a possible tuning for~~ the ~~MOS scale "Sixscared~~[47]".

19ed11/5 tempers out the septimal comma, [[64/63]].

== ~~Integer harmonics~~ ==

Using 3 steps of 19ed11/5 (215.527 cents) as a generator, and 47 steps of 19ed11/5 (3376.589) as a period, you get the 7.8.9 regular temperament with the lowest badness using [[List of music software#Browser-based|x31eq's]] default parameters, [[Subgroup temperaments#Sixscared|Sixscared]].

You could, then, approach 19ed11/5 as a Sixscared[47] scale.

Sixscared doesn't have any useful small [[MOS]] scales, so a more viable approach to composing with 19ed11/5 may be to use a [[MODMOS]] of Sixscared[5], [6], [7] or [8]. Another approach might be to use a small subset of tones from Sixscared[15] or [16].

== Intervals ==

== Harmonics ==

{{Harmonics in equal

| steps = 19

| num = 11

| denom = 5

}}

{{Harmonics in equal

| steps = 19

| num = 11

| denom = 5

| ~~columns~~ = 14

| start = 12

| collapsed = 1

}}

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-ed11/5 fails to produce acceptable approximations of any of the small harmonics. However, it does approximate harmonics 7, 8 and 9 very well.
+{{ED intro}}
-Using 3 steps of 19ed11/5 (215.527 cents) as a generator, and 47 steps of 19ed11/5 (3376.589) as a period, you get the 7.8.9 regular temperament with the lowest badness using x31eq's default settings.
+ed11/5 fails to produce acceptable approximations of any small harmonics. However, it does approximate harmonics 7, 8 and 9 very well.
-This temperament doesn't have a name, but perhaps it could be called Sixscared (because 7.8.9). In that case, you could think of 19ed11/5 as a possible tuning for the MOS scale "Sixscared[47]".
+ed11/5 tempers out the septimal comma, [[64/63]].
-== Integer harmonics ==
+Using 3 steps of 19ed11/5 (215.527 cents) as a generator, and 47 steps of 19ed11/5 (3376.589) as a period, you get the 7.8.9 regular temperament with the lowest badness using [[List of music software#Browser-based|x31eq's]] default parameters, [[Subgroup temperaments#Sixscared|Sixscared]].
+You could, then, approach 19ed11/5 as a Sixscared[47] scale.
+Sixscared doesn't have any useful small [[MOS]] scales, so a more viable approach to composing with 19ed11/5 may be to use a [[MODMOS]] of Sixscared[5], [6], [7] or [8]. Another approach might be to use a small subset of tones from Sixscared[15] or [16].
+== Intervals ==
+{{Interval table}}
+== Harmonics ==
+{{Harmonics in equal
+| steps = 19
+| num = 11
+| denom = 5
+}}
 {{Harmonics in equal
 | steps = 19
 | num = 11
 | denom = 5
-| columns = 14
+| start = 12
+| collapsed = 1
 }}