Argyria: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = (Young's) tinge
| Name = argyria, (Young's) tinge
|Color name = 1ooz<sup>3</sup>2, Lolotrizo comma
|Color name = 1ooz<sup>3</sup>2, Lolotrizo comma
| Comma = yes
| Comma = yes
}}
}}
In [[just intonation]], '''41503/41472''' 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 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 ==
This comma was named the argyria by Lériendil in 2024, on the pattern of the '''olympia''', after Argyre Planitia on Mars.


== See also ==
== See also ==

Revision as of 02:07, 10 July 2024

Interval information
Names argyria,
(Young's) tinge
Color name 1ooz32, Lolotrizo comma

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[1] and casually once referred to as "the tinge"[2]. 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.

Etymology

This comma was named the argyria by Lériendil in 2024, on the pattern of the olympia, after Argyre Planitia on Mars.

See also

Notes

  1. ↑ 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
  2. ↑ Gayle Young, private e-mail to Todd Harrop, 24 June 2018.