Argyria
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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
| Interval information |
(Young's) tinge
(Shannon, [math]\sqrt{nd}[/math])
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.