Argyria

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Interval information
Ratio 41503/41472
Factorization 2-9 × 3-4 × 73 × 112
Monzo [-9 -4 0 3 2
Size in cents 1.293601¢
Names argyria,
(Young's) tinge
Color name 1ooz32, Lolotrizo comma
FJS name [math]\text{d2}^{7,7,7,11,11}[/math]
Special properties reduced
Tenney height (log2 nd) 30.6808
Weil height (log2 max(n, d)) 30.6819
Wilson height (sopfr(nd)) 73
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.21384 bits
Comma size unnoticeable
open this interval in xen-calc

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

  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.