1617/1600: Difference between revisions

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The '''antimisma''', 1617/1600, is the amount by which [[11/10]] exceeds [[160/147]]. It is the difference between the ptolemisma ([[100/99]]) and the septimal diesis ([[49/48]]), making it an anti-ptolemisma, or anti-misma. However, that is not the origin of the name. In fact, it is named after [https://en.wikipedia.org/wiki/Antimo_Liberati Antimo Liberati], because his birth year of 1617 is the numerator of this comma.
The '''antimisma''', '''1617/1600''', is the amount by which [[11/10]] exceeds [[160/147]]. It is the difference between the ptolemisma ([[100/99]]) and the septimal diesis ([[49/48]]), making it an anti-ptolemisma, or anti-misma. However, that is not the origin of the name. In fact, it is named after [https://en.wikipedia.org/wiki/Antimo_Liberati Antimo Liberati], because his birth year of 1617 is the numerator of this comma.


A stack of two septimal tritones ([[7/5]]) and an undecimal superfourth ([[11/8]]) is an antimisma above a perfect eleventh ([[8/3]]). While this leads to an essentially tempered chord of 1/1-7/5-49/25-8/3, it's rather far-flung.
A stack of two septimal tritones ([[7/5]]) and an undecimal superfourth ([[11/8]]) is an antimisma above a perfect eleventh ([[8/3]]). While this leads to an essentially tempered chord of 1/1-7/5-49/25-8/3, it's rather far-flung.

Revision as of 07:23, 17 February 2021

Interval information
Ratio 1617/1600
Factorization 2-6 × 3 × 5-2 × 72 × 11
Monzo [-6 1 -2 2 1
Size in cents 18.29733¢
Name antimisma
Color name 1ozzgg2, lo double zogu 2nd
FJS name [math]\displaystyle{ \text{d2}^{7,7,11}_{5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 21.303
Weil norm (log2 max(n, d)) 21.3182
Wilson norm (sopfr(nd)) 50
Open this interval in xen-calc

The antimisma, 1617/1600, is the amount by which 11/10 exceeds 160/147. It is the difference between the ptolemisma (100/99) and the septimal diesis (49/48), making it an anti-ptolemisma, or anti-misma. However, that is not the origin of the name. In fact, it is named after Antimo Liberati, because his birth year of 1617 is the numerator of this comma.

A stack of two septimal tritones (7/5) and an undecimal superfourth (11/8) is an antimisma above a perfect eleventh (8/3). While this leads to an essentially tempered chord of 1/1-7/5-49/25-8/3, it's rather far-flung.