28edt: Difference between revisions

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'''28edt''' divides the [[3/1|third harmonic]] into 28 [[equal]] parts of 67.9 [[cent]]s each. It is the simplest [[edt]] which intelligibly doubles the Anti-BP harmonic chain{{clarify}}. One step is very close to every third step of [[53edo]]. It tempers out the [[schisma]] in the 8.3.5 subgroup, albeit a really strange tuning due to being a multiple of 4edt and being index-2 in BP.

'''28edt''' divides the [[3/1|third harmonic]] into 28 [[equal]] parts of 67.9 [[cent]]s each. It is the simplest [[edt]] which intelligibly doubles the Anti-BP harmonic chain{{clarify}}. One step is very close to every third step of [[53edo]]. It tempers out the [[schisma]] in the 8.3.5 subgroup, albeit a really strange tuning due to being a multiple of 4edt and being index-2 in BP. It also supports [[deneb]] temperament in the 3.5.11 subgroup, equating 4 [[11/9]]s with [[11/5]].

=== ~~Integer harmonics~~ ===

== Harmonics ==

{{Harmonics in equal

| steps = 28

| num = 3

| denom = 1

| intervals = integer

}}

{{Harmonics in equal

| steps = 28

| num = 3

| denom = 1

| start = 12

| collapsed = 1

| intervals = integer

}}

== Intervals ==

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* [http://www.seraph.it/dep/det/NonOctaveMelancholic.mp3 NonOctave Melancholic] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/06940a530481965d791c521ea45012f2-267.html blog entry])

~~[[Category:Edt]]~~

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-'''28edt''' divides the [[3/1|third harmonic]] into 28 [[equal]] parts of 67.9 [[cent]]s each. It is the simplest [[edt]] which intelligibly doubles the Anti-BP harmonic chain{{clarify}}. One step is very close to every third step of [[53edo]]. It tempers out the [[schisma]] in the 8.3.5 subgroup, albeit a really strange tuning due to being a multiple of 4edt and being index-2 in BP.
+'''28edt''' divides the [[3/1|third harmonic]] into 28 [[equal]] parts of 67.9 [[cent]]s each. It is the simplest [[edt]] which intelligibly doubles the Anti-BP harmonic chain{{clarify}}. One step is very close to every third step of [[53edo]]. It tempers out the [[schisma]] in the 8.3.5 subgroup, albeit a really strange tuning due to being a multiple of 4edt and being index-2 in BP.  It also supports [[deneb]] temperament in the 3.5.11 subgroup, equating 4 [[11/9]]s with [[11/5]].
-=== Integer harmonics ===
+== Harmonics ==
-{{Harmonics in equal|28|3}}
+{{Harmonics in equal
+| steps = 28
+| num = 3
+| denom = 1
+| intervals = integer
+}}
+{{Harmonics in equal
+| steps = 28
+| num = 3
+| denom = 1
+| start = 12
+| collapsed = 1
+| intervals = integer
+}}
 == Intervals ==
@@ Line 157: / Line 170: @@
 * [http://www.seraph.it/dep/det/NonOctaveMelancholic.mp3 NonOctave Melancholic] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/06940a530481965d791c521ea45012f2-267.html blog entry])
-[[Category:Edt]]
+{{todo|expand}}