1617/1600: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 1617/1600
| Monzo = -6 1 -2 2 1
| Cents = 18.2973
| Name = antimisma
| Name = antimisma
| Color name = 1ozzgg2, lo double zogu 2nd
| Color name = 1ozzgg2, lobizogu 2nd,<br>Lobizogu comma
| FJS name = d2<sup>7,7,11</sup><sub>5,5</sub>
| Comma = yes
| Sound =  
}}
}}


The '''antimisma''', '''1617/1600''', is an [[11-limit]] [[small comma]. It is the amount by which [[11/10]] exceeds [[160/147]]. It is also 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 [[Wikipedia: Antimo Liberati|Antimo Liberati]], because his birth year of 1617 is the numerator of this comma.
The '''antimisma''', '''1617/1600''', is an [[11-limit]] [[small comma]]. It is the amount by which [[11/10]] exceeds [[160/147]]. It is also 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 [[Wikipedia: 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.
[[Category:11-limit]]
[[Category:Small comma]]


{{todo|review}}
{{todo|review}}
[[Category:Commas named after composers]]

Latest revision as of 01:58, 4 November 2024

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, lobizogu 2nd,
Lobizogu comma
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
Comma size small
Open this interval in xen-calc

The antimisma, 1617/1600, is an 11-limit small comma. It is the amount by which 11/10 exceeds 160/147. It is also 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.