Tendoartisma

Tendoartisma is a 13-limit or 2.3.5.13 subgroup comma. It's the difference between a stack of six 3/2 pure fifths and a stack of seventeen 15/13s.

Interval information

Factorization	2-6 × 3-11 × 5-17 × 1317
Monzo	[-6 -11 -17 0 0 17⟩
Size in cents	0.1321049¢
Name	Tendoartisma
Color name	sasa-sethogu 8ve, ss17(3o)17gM
FJS name	[math]\displaystyle{ \text{21d8}^{13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13}_{5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	125.815
Weil norm (log2 max(n, d))	125.815
Wilson norm (sopfr(nd))	351
Comma size	unnoticeable
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Temperaments

Tempering it out in 2.3.5.13 subgroup leads to the tendoartic temperament, and tendoartismic in full 13-limit. Further retraction to the 2.3.13/5 fractional subgroup leads to the seventeen-cot temperament. Both tendoartic and seventeen-cot can extend by tempering out 225000/224939 or 43940/43923 in larger subgroups.

Etymology

Named by FilterNashi in 2026 after the arto and tendo theory aka extraclassical tonality theory.

See also

• Unnoticeable comma