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|examples = C-F{{music|#}}-c-f{{music|#}}-c'-f&nbsp;'{{music|#}}<br>B-F-b-f-b'-f' ...mented-fourths tuning is also called '''tritone tuning''' or '''diminished-fifths tuning'''. ...

...uction |page={{mvar|xviii}} |title="Maximum Clarity" and Other Writings on Music |editor-first=Bob |editor-last=Gilmore |place=Urbana, IL |publisher=Univers ...onal higher-limit tunings have been mapped by [[Erv Wilson]]. The [[limit (music)|limit]] is the highest prime number used in the ratios that define the int ...

|other_names = Uniform tunings<br />All-[[interval (music)|interval]] tunings |disadvantages = Makes it difficult to play music written for standard tuning. ...

...ts scale the way notes 1200 cents apart are in traditional tunings). Other music theorists such as [[Walter O'Connell]], in his 1993 "The Tonality of the Go ...nverse 4:3 to provide steps 2 and 5, creating a two dimensional [[lattice (music)|lattice]]. Given that the golden ratio is an [[irrational number]] there a ...

{{short description|Mathematical model used in music theory}} ...2007 | publisher = Springer | book-title = Mathematics and Computation in Music, First International Conference, MCM 2007 Berlin, Germany, May 18–20, 2007 ...

...tuning''', or '''5-prime-limit tuning''' (not to be confused with [[limit (music)#Odd-limit and prime-limit|5-odd-limit tuning]]), is any system for [[music ...y from stacking of three basic purely-tuned intervals (octaves, thirds and fifths). Since the perception of consonance seems related to low numbers in the ha ...

===Music theory=== In [[music theory]], a [[musical interval]] describes the ratio in [[frequency]] betwe ...

{{short description|Collection of keyboard music by J.S. Bach}} .... |title=J. S. Bach, The Well-Tempered Clavier, Volume I |publisher=Alfred Music publishing |isbn=}}</ref> ...

...one values which produce the [[Circle of fifths|rising fourths and falling fifths]] of [[Pythagorean comma|Pythagorean tuning]].<ref>McClain and Ming (1979), ...am (1986), Volume 4, Part 1, 227–228.</ref> In order to obtain [[Interval (music)|equal intervals]], Zhu divided the octave (each octave with a ratio of 1:2 ...

...e for mental illness included abundant light, fresh air, running water and music.<ref name=aramco0317>{{cite web|url=http://www.aramcoworld.com/en-US/Articl === Music === ...

...f its derivative, and {{harvtxt|Conrey|1989}} improved this further to two-fifths. In 2020, this estimate was extended to five-twelfths by Pratt, Robles, [[A ...n|last= Conrey|first= J. B.|author-link= Brian Conrey|title= More than two fifths of the zeros of the Riemann zeta function are on the critical line|journal= ...