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>. 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]] and therefore is the [[Don Page comma]] between the intervals [[11/9]] and [[8/7]]. 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]]). | ||
Revision as of 06:11, 22 November 2024
| Interval information |
(Young's) tinge
In just intonation, 41503/41472, the argyria, is the unnoticeable 11-limit 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]. It is the difference of 1029/1024 and 243/242 and therefore is the Don Page comma between the intervals 11/9 and 8/7. 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 and alongside the elysia, after Argyre Planitia on Mars.
Notes
- ↑ 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
- ↑ Gayle Young, private e-mail to Todd Harrop, 24 June 2018.