Argyria: Difference between revisions

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In [[just intonation]], '''41503/41472''', the '''argyria''', is the 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>. 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.  


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


== Etymology ==
== Etymology ==
This comma was named the argyria by Lériendil in 2024, on the pattern of the '''olympia''', after Argyre Planitia on Mars.
This comma was named the argyria by Lériendil in 2024, on the pattern of the [[olympia]], after Argyre Planitia on Mars.
 
== See also ==
* [[Unnoticeable comma]]


== Notes ==
== Notes ==
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