25ed5: Difference between revisions

(7 intermediate revisions by 4 users not shown)

Line 1:

'''[[Ed5|Division of the 5th harmonic]] into 25 equal parts''' (25ED5) was first used in Stockhausen’s Elektronische Studie II. The step size is about 111.4525 cents. This tuning is very similar to [[17edt|17ED3]] but compressed by several cents.

'''[[Ed5|Division of the 5th harmonic]] into 25 equal parts''' (25ED5) was first used in [[wikipedia:Karlheinz Stockhausen|Stockhausen’s]] [[wikipedia:Studie II|Elektronische Studie II]]. The step size is about 111.4525 cents. This tuning is very similar to [[17edt|17ED3]] but compressed by several cents.

== Intervals ==

{| class="wikitable"

|-

Line 139:

Line 140:

| | just major third plus two octaves

|}

== Harmonics ==

{{Harmonics in equal

| steps = 25

| num = 5

| denom = 1

}}

{{Harmonics in equal

| steps = 25

| num = 5

| denom = 1

| start = 12

| collapsed = 1

}}

== Related temperament ==

~~25ED5~~ is strongly related to 140&~~amp;~~183 temperament (''[[~~Metric microtemperaments #Stockhausenic|~~stockhausenic~~]]'', named by [[User:Xenllium|Xenllium~~]]), which tempers out 703125/702464 ([[meter ~~comma~~]]) and 4096000/4084101 (''hemfiness'' comma~~, named by Xenllium~~) in the 7-limit; 1375/1372, 5632/5625, and 35937/35840 in the 11-limit; 676/675, 1001/1000, 1573/1568, and 4096/4095 in the 13-limit.

25de5 is strongly related to the 140 & 183 temperament ([[stockhausenic]]), which tempers out 703125/702464 ([[meter]]) and 4096000/4084101 (hemfiness comma) in the 7-limit; 1375/1372, 5632/5625, and 35937/35840 in the 11-limit; 676/675, 1001/1000, 1573/1568, and 4096/4095 in the 13-limit.

== Etymology ==

25ed5 is sometimes called "McLaren" or "Stockhausen" according to the main [[Ed5]] article. Stockhausen is named for Karlheinz Stockhausen who used this scale. McLaren might be named after [[Brian McLaren]].

[~~[Category~~:~~Ed5]~~]

== Music ==

[[~~Category~~:~~Edonoi~~]]

[https://www.youtube.com/watch?v=bwj6ZptPnDo Studie II] - [[wikipedia:Karlheinz Stockhausen|Karlheinz Stockhausen]]

~~[[Category:Todo:add sound example]]~~

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-'''[[Ed5|Division of the 5th harmonic]] into 25 equal parts''' (25ED5) was first used in Stockhausen’s Elektronische Studie II. The step size is about 111.4525 cents. This tuning is very similar to [[17edt|17ED3]] but compressed by several cents.
+'''[[Ed5|Division of the 5th harmonic]] into 25 equal parts''' (25ED5) was first used in [[wikipedia:Karlheinz Stockhausen|Stockhausen’s]] [[wikipedia:Studie II|Elektronische Studie II]]. The step size is about 111.4525 cents. This tuning is very similar to [[17edt|17ED3]] but compressed by several cents.
+== Intervals ==
 {| class="wikitable"
 |-
@@ Line 139: / Line 140: @@
 | | just major third plus two octaves
 |}
+== Harmonics ==
+{{Harmonics in equal
+| steps = 25
+| num = 5
+| denom = 1
+}}
+{{Harmonics in equal
+| steps = 25
+| num = 5
+| denom = 1
+| start = 12
+| collapsed = 1
+}}
 == Related temperament ==
-ED5 is strongly related to 140&amp;183 temperament (''[[Metric microtemperaments #Stockhausenic|stockhausenic]]'', named by [[User:Xenllium|Xenllium]]), which tempers out 703125/702464 ([[meter comma]]) and 4096000/4084101 (''hemfiness'' comma, named by Xenllium) in the 7-limit; 1375/1372, 5632/5625, and 35937/35840 in the 11-limit; 676/675, 1001/1000, 1573/1568, and 4096/4095 in the 13-limit.
+de5 is strongly related to the 140 & 183 temperament ([[stockhausenic]]), which tempers out 703125/702464 ([[meter]]) and 4096000/4084101 (hemfiness comma) in the 7-limit; 1375/1372, 5632/5625, and 35937/35840 in the 11-limit; 676/675, 1001/1000, 1573/1568, and 4096/4095 in the 13-limit.
+== Etymology ==
+ed5 is sometimes called "McLaren" or "Stockhausen" according to the main [[Ed5]] article. Stockhausen is named for Karlheinz Stockhausen who used this scale. McLaren might be named after [[Brian McLaren]].
-[[Category:Ed5]]
+== Music ==
-[[Category:Edonoi]]
+[https://www.youtube.com/watch?v=bwj6ZptPnDo Studie II] - [[wikipedia:Karlheinz Stockhausen|Karlheinz Stockhausen]]
-[[Category:Todo:add sound example]]
+{{todo|expand}}