Argyria: Difference between revisions

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In [[just intonation]], '''41503/41472''', the '''argyria''', is the [[unnoticeable comma|unnoticeable]] [[11-limit]] [[comma]] between three [[8/7]]'s (693.522 cents) and two [[11/9]]'s (694.816 cents), measuring 1.294 cents<ref>Gayle Young, "The Pitch Organization of ''Harmonium for James Tenney''", Perspectives of New Music, vol. 26, no. 2, summer 1988, pp. 204–12. Stable URL: http://www.jstor.org/stable/833190</ref> and casually once referred to as "'''the tinge'''"<ref>Gayle Young, private e-mail to Todd Harrop, 24 June 2018.</ref>. So it is the difference of [[1029/1024]] and [[243/242]]. Besides, it is also the difference of [[385/384]] and [[540/539]]. Those two ratios make up [[225/224]]. Therefore, tempering it out guarantees that 225/224 is split into two, each for 385/384~540/539.  
In [[just intonation]], '''41503/41472''', the '''argyria''', is the [[unnoticeable comma|unnoticeable]] [[11-limit]] [[comma]] between three [[8/7]]'s (693.522 cents) and two [[11/9]]'s (694.816 cents), measuring 1.294 cents<ref>Gayle Young, "The Pitch Organization of ''Harmonium for James Tenney''", Perspectives of New Music, vol. 26, no. 2, summer 1988, pp. 204–12. Stable URL: http://www.jstor.org/stable/833190</ref> and casually once referred to as "'''the tinge'''"<ref>Gayle Young, private e-mail to Todd Harrop, 24 June 2018.</ref>. It is the difference of [[1029/1024]] and [[243/242]]. Besides, it is also the difference of [[385/384]] and [[540/539]]. Those two ratios make up [[225/224]]. Therefore, tempering it out guarantees that 225/224 is split into two, each for 385/384~540/539.  


It factors into two superparticular commas: ([[2401/2400]])([[3025/3024]]).
It factors into two superparticular commas: ([[2401/2400]])([[3025/3024]]).