Equal-step tuning: Difference between revisions

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

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

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

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

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

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

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

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

===[[EdV|...of fifths (e. g. 3/2 and 13/9)]]===

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

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

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

===[[EdIV|...of fourths (e. g. 4/3 and 13/10)]]===

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

* '''<big>...of the Perfect Fourth (4/3)</big>'''

** ~~3ed4/~~3 - [[Cube_Root_of_P4|Cube Root of 4/3]]~~ ~~

** 3 - [[Cube_Root_of_P4|Cube Root of 4/3]]

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

** 9 - '[[Noleta]]' Scale

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

** ~~2ed13/10~~ - [[Square root of 13 over 10]]~~ ~~

** 2 - [[Square root of 13 over 10]]

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

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

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

===[[EdIII|...of thirds (e. g. 5/4 and 11/9)]]===

2 - [[2ed5/4|Square Root of 5/4]]~~ ~~

* [[Ed5/4|'''<big>...of the Just Major Third (5/4)</big>''']]

3 - [[3ed5/4|Cube Root of 5/4]]~~ ~~

** 2 - [[2ed5/4|Square Root of 5/4]]

4 - [[4ed5/4|Fourth Root of 5/4]]~~ ~~

** 3 - [[3ed5/4|Cube Root of 5/4]]

5 - [[5ed5/4|Fifth Root of 5/4]]~~ ~~

** 4 - [[4ed5/4|Fourth Root of 5/4]]

6 - [[6ed5/4|Sixth Root of 5/4]]~~ ~~

** 5 - [[5ed5/4|Fifth Root of 5/4]]

7 - [[7ed5/4|Seventh Root of 5/4]]

** 6 - [[6ed5/4|Sixth Root of 5/4]]

** 7 - [[7ed5/4|Seventh Root of 5/4]]

== Equal multiplications ==

@@ Line 32: / Line 32: @@
 ===[[EdXI and beyond|…of elevenths and beyond]]===
 * [[EdXI|'''<big>…of elevenths (e. g. 8/3)</big>''']]
-* [[EdXII|'''<big>…of twelfths (e. g. 3/1 and 20/7)</big>''']]
+* [[EdXII|'''<big>…of twelfths (e. g. 3/1)</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>''']]
-===[[EdV|...of fifths (e. g. 3/2)]]===
+===[[EdV|...of fifths (e. g. 3/2 and 13/9)]]===
 * [[EDF|'''<big>...of the Perfect Fifth (3/2)</big>''']]
 ** most famously Carlos Alpha, Beta and Gamma, but lots of others, too
-===[[EdIV|...of fourths (e. g. 4/3)]]===
+===[[EdIV|...of fourths (e. g. 4/3 and 13/10)]]===
-* [[Ed4/3|'''<big>...of the Perfect Fourth (4/3)</big>''']]
+* '''<big>...of the Perfect Fourth (4/3)</big>'''
-** 3ed4/3 - [[Cube_Root_of_P4|Cube Root of 4/3]]<br>
+** 3 - [[Cube_Root_of_P4|Cube Root of 4/3]]
-** 9ed4/3 - '[[Noleta]]' Scale
+** 9 - '[[Noleta]]' Scale
 * '''<big>...of the Tridecimal Ultramajor Third (13/10)</big>'''
-** 2ed13/10 - [[Square root of 13 over 10]]<br>
+** 2 - [[Square root of 13 over 10]]
-** 5ed13/10 - [[Fifth root of 13 over 10]]
+** 5 - [[Fifth root of 13 over 10]]
-===[[Ed5/4|...of the Just Major Third (5/4)]]===
+===[[EdIII|...of thirds (e. g. 5/4 and 11/9)]]===
-- [[2ed5/4|Square Root of 5/4]]<br>
+* [[Ed5/4|'''<big>...of the Just Major Third (5/4)</big>''']]
-- [[3ed5/4|Cube Root of 5/4]]<br>
+** 2 - [[2ed5/4|Square Root of 5/4]]
-- [[4ed5/4|Fourth Root of 5/4]]<br>
+** 3 - [[3ed5/4|Cube Root of 5/4]]
-- [[5ed5/4|Fifth Root of 5/4]]<br>
+** 4 - [[4ed5/4|Fourth Root of 5/4]]
-- [[6ed5/4|Sixth Root of 5/4]]<br>
+** 5 - [[5ed5/4|Fifth Root of 5/4]]
-- [[7ed5/4|Seventh Root of 5/4]]
+** 6 - [[6ed5/4|Sixth Root of 5/4]]
+** 7 - [[7ed5/4|Seventh Root of 5/4]]
 == Equal multiplications ==