Didacus: Difference between revisions

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| 21/20

|}

<nowiki />* In [[CWE]] undecimal didacus

<nowiki/>* In [[CWE]] undecimal didacus

== Tunings ==

[[File:Didacus.png|thumb|alt=Didacus.png|600x560px|A chart of the tuning spectrum of didacus, showing the offsets of prime harmonics 5, 7, and 11, as a function of the generator; all edo tunings are shown with vertical lines whose length indicates the edo's tolerance, i.e. half of its step size in either direction of just, and some small edos supporting the temperament are labeled.]]

=== Optimized tunings ===

{| class="wikitable mw-collapsible mw-collapsed"

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|-

! Equilateral

| (2.5.7) CEE: ~28/25 = 193.681¢

| (2.5.7) CEE: ~28/25 = 193.681¢ (12/29-comma)

(12/29-comma)

|-

! Tenney

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{| class="wikitable center-all left-4"

! EDO generator

! EDO generator

! [[Eigenmonzo|Eigenmonzo (unchanged interval)]]*

! [[Eigenmonzo|Eigenmonzo (unchanged interval)]]*

! Generator (¢)

! Comments

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| '''Upper bound of (no-threes) 7- and 11-odd-limit diamond monotone'''

|}

<nowiki />* Besides the octave

<nowiki/>* Besides the octave

=== Other tunings ===

* [[DKW theory|DKW]] (2.5.7): ~2 = ~~1\1~~, ~28/25 = 194.061

* [[DKW theory|DKW]] (2.5.7): ~2 = 1200.000, ~28/25 = 194.061

~~== Images ==~~

~~[[File:Didacus.png|alt=Didacus.png|600x560px]]~~

A chart of the tuning spectrum of didacus, showing the offsets of prime harmonics 5, 7, and 11, as a function of the generator; all EDO tunings are shown with vertical lines whose length indicates the EDO's tolerance, i.e. half of its step size in either direction of just, and some small EDOs supporting the temperament are labeled.

[[Category:Temperaments]]

[[Category:Hemimean clan]]

@@ Line 168: / Line 168: @@
 | 21/20
 |}
-<nowiki />* In [[CWE]] undecimal didacus
+<nowiki/>* In [[CWE]] undecimal didacus
 == Tunings ==
+[[File:Didacus.png|thumb|alt=Didacus.png|600x560px|A chart of the tuning spectrum of didacus, showing the offsets of prime harmonics 5, 7, and 11, as a function of the generator; all edo tunings are shown with vertical lines whose length indicates the edo's tolerance, i.e. half of its step size in either direction of just, and some small edos supporting the temperament are labeled.]]
 === Optimized tunings ===
 {| class="wikitable mw-collapsible mw-collapsed"
@@ Line 183: / Line 185: @@
 |-
 ! Equilateral
-| (2.5.7) CEE: ~28/25 = 193.681¢
+| (2.5.7) CEE: ~28/25 = 193.681¢<br>(12/29-comma)
-(12/29-comma)
 |-
 ! Tenney
@@ Line 210: / Line 211: @@
 {| class="wikitable center-all left-4"
-! EDO<br />generator
+! EDO<br>generator
-! [[Eigenmonzo|Eigenmonzo<br />(unchanged interval)]]*
+! [[Eigenmonzo|Eigenmonzo<br>(unchanged interval)]]*
 ! Generator (¢)
 ! Comments
@@ Line 385: / Line 386: @@
 | '''Upper bound of (no-threes) 7- and 11-odd-limit diamond monotone'''
 |}
-<nowiki />* Besides the octave
+<nowiki/>* Besides the octave
 === Other tunings ===
-* [[DKW theory|DKW]] (2.5.7): ~2 = 1\1, ~28/25 = 194.061
+* [[DKW theory|DKW]] (2.5.7): ~2 = 1200.000, ~28/25 = 194.061
-== Images ==
-[[File:Didacus.png|alt=Didacus.png|600x560px]]
-A chart of the tuning spectrum of didacus, showing the offsets of prime harmonics 5, 7, and 11, as a function of the generator; all EDO tunings are shown with vertical lines whose length indicates the EDO's tolerance, i.e. half of its step size in either direction of just, and some small EDOs supporting the temperament are labeled.
 [[Category:Temperaments]]
 [[Category:Hemimean clan]]