Equal-step tuning: Difference between revisions

Line 23:

== Gallery of equal divisions ==

[[EdVI through edX|~~'''<big>~~…of sixths through tenths~~</big>'''~~]]

===[[EdVI through edX|…of sixths through tenths]]===

* [[EdVI|'''<big>…of sixths (e. g. 5/3 or 11/7)</big>''']]

* [[EdVI|'''<big>…of sixths (e. g. 5/3 and 11/7)</big>''']]

* [[EdVII|'''<big>…of sevenths (e. g. 9/5)</big>''']]

* [[EDO|'''<big>...of the Octave/Duple (2/1)</big>''']]

Line 30:

* [[EdIX|'''<big>…of ninths (e. g. 9/4)</big>''']]

* [[EdX|'''<big>…of tenths (e. g. 7/3)</big>''']]

~~'''<big>~~[[EdXI and beyond|…of elevenths and beyond]]~~</big>'''~~

===[[EdXI and beyond|…of elevenths and beyond]]===

* [[EdXI|'''<big>…of elevenths (e. g. 8/3)</big>''']]

* [[EdXII|'''<big>…of twelfths (e. g. 3/1 or 20/7)</big>''']]

* [[EdXII|'''<big>…of twelfths (e. g. 3/1 and 20/7)</big>''']]

** [[Edt|'''<big>...of the Tritave/Triple (3/1)</big>''']]

*** most famously the [[Bohlen-Pierce|BP]] scale, but lots of others, too

Line 49:

* [[Ed11|'''<big>...of the 11th Natural (11/1)</big>''']]

===[[EDF|...of the Perfect Fifth (3/2)]]~~===~~

===[[EdV|...of fifths (e. g. 3/2)]]===

most famously Carlos Alpha, Beta and Gamma, but lots of others, too

* [[EDF|'''<big>...of the Perfect Fifth (3/2)</big>''']]

** most famously Carlos Alpha, Beta and Gamma, but lots of others, too

===...of the Perfect Fourth (4/3)~~===~~

===[[EdIV|...of fourths (e. g. 4/3)]]===

3 - [[Cube_Root_of_P4|Cube Root of 4/3]]<br>

* [[Ed4/3|'''<big>...of the Perfect Fourth (4/3)</big>''']]

9 - '[[Noleta]]' Scale

** 3ed4/3 - [[Cube_Root_of_P4|Cube Root of 4/3]]<br>

** 9ed4/3 - '[[Noleta]]' Scale

~~===~~...of the Tridecimal Ultramajor Third (13/10)~~===~~

* '''<big>...of the Tridecimal Ultramajor Third (13/10)</big>'''

2 - [[Square root of 13 over 10]]<br>

** 2ed13/10 - [[Square root of 13 over 10]]<br>

5 - [[Fifth root of 13 over 10]]

** 5ed13/10 - [[Fifth root of 13 over 10]]

===[[Ed5/4|...of the Just Major Third (5/4)]]===

Line 69:

Line 70:

== Equal multiplications ==

=== ...of a given cents value ===

* [[88cET]]

Line 92:

* [[Maximal evenness]]

* [[Toctave]]

* [[The Riemann Zeta Function and Tuning]] [[Category:Equal-step tuning| ]]

* [[The Riemann Zeta Function and Tuning]]

[[Category:Equal-step tuning| ]]

[[Category:Tuning]]

[[Category:Temperament]]

@@ Line 23: / Line 23: @@
 == Gallery of equal divisions ==
-[[EdVI through edX|'''<big>…of sixths through tenths</big>''']]
+===[[EdVI through edX|…of sixths through tenths]]===
-* [[EdVI|'''<big>…of sixths (e. g. 5/3 or 11/7)</big>''']]
+* [[EdVI|'''<big>…of sixths (e. g. 5/3 and 11/7)</big>''']]
 * [[EdVII|'''<big>…of sevenths (e. g. 9/5)</big>''']]
 * [[EDO|'''<big>...of the Octave/Duple (2/1)</big>''']]
@@ Line 30: / Line 30: @@
 * [[EdIX|'''<big>…of ninths (e. g. 9/4)</big>''']]
 * [[EdX|'''<big>…of tenths (e. g. 7/3)</big>''']]
-'''<big>[[EdXI and beyond|…of elevenths and beyond]]</big>'''
+===[[EdXI and beyond|…of elevenths and beyond]]===
 * [[EdXI|'''<big>…of elevenths (e. g. 8/3)</big>''']]
-* [[EdXII|'''<big>…of twelfths (e. g. 3/1 or 20/7)</big>''']]
+* [[EdXII|'''<big>…of twelfths (e. g. 3/1 and 20/7)</big>''']]
 ** [[Edt|'''<big>...of the Tritave/Triple (3/1)</big>''']]
 *** most famously the [[Bohlen-Pierce|BP]] scale, but lots of others, too
@@ Line 49: / Line 49: @@
 * [[Ed11|'''<big>...of the 11th Natural (11/1)</big>''']]
-===[[EDF|...of the Perfect Fifth (3/2)]]===
+===[[EdV|...of fifths (e. g. 3/2)]]===
-most famously Carlos Alpha, Beta and Gamma, but lots of others, too
+* [[EDF|'''<big>...of the Perfect Fifth (3/2)</big>''']]
+** most famously Carlos Alpha, Beta and Gamma, but lots of others, too
-===...of the Perfect Fourth (4/3)===
+===[[EdIV|...of fourths (e. g. 4/3)]]===
-- [[Cube_Root_of_P4|Cube Root of 4/3]]<br>
+* [[Ed4/3|'''<big>...of the Perfect Fourth (4/3)</big>''']]
-- '[[Noleta]]' Scale
+** 3ed4/3 - [[Cube_Root_of_P4|Cube Root of 4/3]]<br>
+** 9ed4/3 - '[[Noleta]]' Scale
-===...of the Tridecimal Ultramajor Third (13/10)===
+* '''<big>...of the Tridecimal Ultramajor Third (13/10)</big>'''
-- [[Square root of 13 over 10]]<br>
+** 2ed13/10 - [[Square root of 13 over 10]]<br>
-- [[Fifth root of 13 over 10]]
+** 5ed13/10 - [[Fifth root of 13 over 10]]
 ===[[Ed5/4|...of the Just Major Third (5/4)]]===
@@ Line 69: / Line 70: @@
 == Equal multiplications ==
 === ...of a given cents value ===
 * [[88cET]]
@@ Line 92: / Line 92: @@
 * [[Maximal evenness]]
 * [[Toctave]]
-* [[The Riemann Zeta Function and Tuning]]  [[Category:Equal-step tuning| ]] <!-- main article -->
+* [[The Riemann Zeta Function and Tuning]]
+[[Category:Equal-step tuning| ]] <!-- main article -->
 [[Category:Tuning]]
 [[Category:Temperament]]