2ed13/10: Difference between revisions
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{{Infobox ET}} | |||
'''2 equal divisions of 13/10''', when viewed from a regular temperament perspective, is a nonoctave tuning system created by diving the interval of 13/10 into two steps of about 227.1 cents each. It is equivalent to about 5.284edo. | '''2 equal divisions of 13/10''', when viewed from a regular temperament perspective, is a nonoctave tuning system created by diving the interval of 13/10 into two steps of about 227.1 cents each. It is equivalent to about 5.284edo. | ||
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===Harmonic content=== | ===Harmonic content=== | ||
{{Harmonics in equal|2|13|10}} | |||
Sqrt 13:10 (the scale) contains no octaves, and also no close approximation of the third harmonic (the perfect fifth). However, it comes very close to certain just intervals involving the numbers 5, 7, 11 and 13: in particular: 8/7, 13/10, 22/13, 11/5, 5/2, 20/7, 13/4, 26/7, 11/2, and 44/7. These near-just intervals can be combined so as to make available a set of 20 harmonic and subharmonic chords. | Sqrt 13:10 (the scale) contains no octaves, and also no close approximation of the third harmonic (the perfect fifth). However, it comes very close to certain just intervals involving the numbers 5, 7, 11 and 13: in particular: 8/7, 13/10, 22/13, 11/5, 5/2, 20/7, 13/4, 26/7, 11/2, and 44/7. These near-just intervals can be combined so as to make available a set of 20 harmonic and subharmonic chords. | ||
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[[File:sqrt13_10_harmonic_contents.jpg|alt=sqrt13_10_harmonic_contents.jpg|sqrt13_10_harmonic_contents.jpg]] | [[File:sqrt13_10_harmonic_contents.jpg|alt=sqrt13_10_harmonic_contents.jpg|sqrt13_10_harmonic_contents.jpg]] | ||
== Music == | == Music == | ||
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13/10 | 13/10 | ||
</pre> | </pre> | ||