Equal-step tuning: Difference between revisions

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* [[EdXIV|'''<big>…of fourteenths (e. g. 7/2)</big>''']]

* [[Ed4|'''<big>...of the Double Octave (4/1)</big>''']]

* '''<big>[[Ed9/2|…of the Just Major 16th (9/2)]]</big>'''

* [[Ed5|'''<big>...of the Just Major 17th (5/1)</big>''']]

* '''<big>[[Ed11/2|…of the undecimal pentadecatone/Augmented 18th/Diminished 19th (11/2)]]</big>'''

* [[Ed6|'''<big>...of the hexatave (6/1)</big>''']]

* [[Ed7|'''<big>...of the 7th Natural (7/1)</big>''']]

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

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

===[[EdV|...of fifths (e. g. 3/2, 13/9 and 7/5)]]===

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

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

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** 8 - [[8ed10/7|Eighth root of 10 over 7]]

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

===[[EdIV|...of fourths (e. g. 4/3, 13/10 and 15/11)]]===

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

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

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

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

===[[EdIII|...of thirds (e. g. 5/4, 11/9, 6/5 and 7/6)]]===

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

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

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* [[Maximal evenness]]

* [[Toctave]]

* [[The Riemann Zeta Function and Tuning]]

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

[[Category:Equal-step tuning| ]]

[[Category:Tuning]]

[[Category:Temperament]]

@@ Line 38: / Line 38: @@
 * [[EdXIV|'''<big>…of fourteenths (e. g. 7/2)</big>''']]
 * [[Ed4|'''<big>...of the Double Octave (4/1)</big>''']]
+* '''<big>[[Ed9/2|…of the Just Major 16th (9/2)]]</big>'''
 * [[Ed5|'''<big>...of the Just Major 17th (5/1)</big>''']]
+* '''<big>[[Ed11/2|…of the undecimal pentadecatone/Augmented 18th/Diminished 19th (11/2)]]</big>'''
 * [[Ed6|'''<big>...of the hexatave (6/1)</big>''']]
 * [[Ed7|'''<big>...of the 7th Natural (7/1)</big>''']]
@@ Line 49: / Line 51: @@
 * [[Ed11|'''<big>...of the 11th Natural (11/1)</big>''']]
-===[[EdV|...of fifths (e. g. 3/2 and 13/9)]]===
+===[[EdV|...of fifths (e. g. 3/2, 13/9 and 7/5)]]===
 * [[EDF|'''<big>...of the Perfect Fifth (3/2)</big>''']]
 ** most famously Carlos Alpha, Beta and Gamma, but lots of others, too
@@ Line 57: / Line 59: @@
 ** 8 - [[8ed10/7|Eighth root of 10 over 7]]
-===[[EdIV|...of fourths (e. g. 4/3 and 13/10)]]===
+===[[EdIV|...of fourths (e. g. 4/3, 13/10 and 15/11)]]===
 * '''<big>...of the Perfect Fourth (4/3)</big>'''
 ** 3 - [[Cube_Root_of_P4|Cube Root of 4/3]]
@@ Line 64: / Line 66: @@
 ** 2 - [[Square root of 13 over 10]]
-===[[EdIII|...of thirds (e. g. 5/4 and 11/9)]]===
+===[[EdIII|...of thirds (e. g. 5/4, 11/9, 6/5 and 7/6)]]===
 * [[Ed5/4|'''<big>...of the Just Major Third (5/4)</big>''']]
 ** 2 - [[2ed5/4|Square Root of 5/4]]
@@ Line 96: / Line 98: @@
 * [[Maximal evenness]]
 * [[Toctave]]
-* [[The Riemann Zeta Function and Tuning]]
+* [[The Riemann Zeta Function and Tuning]] [[Category:Equal-step tuning| ]] <!-- main article -->
-[[Category:Equal-step tuning| ]] <!-- main article -->
 [[Category:Tuning]]
 [[Category:Temperament]]