1193859/1187500: Difference between revisions

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'''1193859/1187500''' is a [[small comma|small]] [[19-limit]] comma, equal to the difference between three [[51/50]] sixth-tones and one [[19/18]] semitone. It is useful for constructing 19-limit temperaments. The comma tempers a high-badness meantone temperament of rank 4 in the 2.3.5.17.19 subgroup and is well approximated by [[31edo]].
'''1193859/1187500,''' the '''mgasma,''' is a [[small comma|small]] [[19-limit]] comma, equal to the difference between three [[51/50]] sixth-tones and one [[19/18]] semitone. It is useful for constructing 19-limit temperaments. The comma tempers a high-badness meantone temperament of rank 4 in the 2.3.5.17.19 subgroup and is tempered out in [[31edo]].

Latest revision as of 13:02, 18 September 2026

Interval information
Ratio 1193859/1187500
Factorization 2-2 × 35 × 5-6 × 173 × 19-1
Monzo [-2 5 -6 0 0 0 3 -1
Size in cents 9.245934 ¢
Name mrgasma
Color name nutrisogugu 3rd, 19u17o3g63
FJS name [math]\displaystyle{ \text{dddd3}^{17,17,17}_{5,5,5,5,5,5,19} }[/math]
Special properties reduced
Tenney norm (log2 nd) 40.3667
Weil norm (log2 max(n, d)) 40.3744
Wilson norm (sopfr(nd)) 119
Comma size small
Open this interval in xen-calc

1193859/1187500, the mgasma, is a small 19-limit comma, equal to the difference between three 51/50 sixth-tones and one 19/18 semitone. It is useful for constructing 19-limit temperaments. The comma tempers a high-badness meantone temperament of rank 4 in the 2.3.5.17.19 subgroup and is tempered out in 31edo.