Golden meantone: Difference between revisions

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'''Golden meantone''' is based on making the relation between the whole tone and diatonic semitone intervals be the [[Golden ratio|Golden Ratio]]

'''Golden meantone''' (or "golden diatonic" temperament-agnostically) is based on making the relation between the whole tone and diatonic semitone intervals be the [[Golden ratio|Golden Ratio]]

<math>\varphi = \frac 1 2 (\sqrt{5}+1) \approx 1.61803\,39887\ldots\,</math>

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== Evaluation ==

I think of this as the standard melodic meantone because the all these ratios are the same. It has the mellow sound of 1/4 comma, but does still have a character of its own. Some algorithms make this almost exactly the optimum 5-limit tuning. It's fairly good as a 7-limit tuning as well. Almost the optimum (according to me) for diminished sevenths. I toyed with this as a guitar tuning, but rejected it because 4:6:9 chords aren't quite good enough. That is, the poor fifth leads to a sludgy major ninth.

I think of this as the standard melodic meantone because the all these ratios are the same. It has the mellow sound of 1/4 comma, but does still have a character of its own. Some algorithms make this almost exactly the optimum 5[-odd]-limit tuning. It's fairly good as a 7[-odd]-limit tuning as well. Almost the optimum (according to me) for diminished sevenths. I toyed with this as a guitar tuning, but rejected it because 4:6:9 chords aren't quite good enough. That is, the poor fifth leads to a sludgy major ninth.

</blockquote>

—[http://x31eq.com/meantone.htm#pop Graham Breed]

~~Note that the author uses “''n''-limit” to mean what “''n''-[[odd-limit]]” means on this wiki.~~

== Music ==

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-'''Golden meantone''' is based on making the relation between the whole tone and diatonic semitone intervals be the [[Golden ratio|Golden Ratio]]
+'''Golden meantone''' (or "golden diatonic" temperament-agnostically) is based on making the relation between the whole tone and diatonic semitone intervals be the [[Golden ratio|Golden Ratio]]
 <math>\varphi = \frac 1 2 (\sqrt{5}+1) \approx 1.61803\,39887\ldots\,</math>
@@ Line 98: / Line 98: @@
 == Evaluation ==
 <blockquote>
-I think of this as the standard melodic meantone because the all these ratios are the same. It has the mellow sound of 1/4 comma, but does still have a character of its own. Some algorithms make this almost exactly the optimum 5-limit tuning. It's fairly good as a 7-limit tuning as well. Almost the optimum (according to me) for diminished sevenths. I toyed with this as a guitar tuning, but rejected it because 4:6:9 chords aren't quite good enough. That is, the poor fifth leads to a sludgy major ninth.
+I think of this as the standard melodic meantone because the all these ratios are the same. It has the mellow sound of 1/4 comma, but does still have a character of its own. Some algorithms make this almost exactly the optimum 5[-odd]-limit tuning. It's fairly good as a 7[-odd]-limit tuning as well. Almost the optimum (according to me) for diminished sevenths. I toyed with this as a guitar tuning, but rejected it because 4:6:9 chords aren't quite good enough. That is, the poor fifth leads to a sludgy major ninth.
 </blockquote>
 —[http://x31eq.com/meantone.htm#pop Graham Breed]
-Note that the author uses “''n''-limit” to mean what “''n''-[[odd-limit]]” means on this wiki.
 == Music ==