29241/29240

Interval information

Ratio	29241/29240
Subgroup monzo	2.3.5.17.19.43 [-3 4 -1 -1 2 -1⟩
Size in cents	0.05920672¢
Name	locquirecisma
Color name	43u19oo17ug1 fothunonosugu unison
FJS name	[math]\displaystyle{ \text{P1}^{19,19}_{5,17,43} }[/math]
Special properties	square superparticular, reduced
Tenney height (log2 nd)	29.6714
Weil height (log2 max(n, d))	29.6714
Wilson height (sopfr(nd))	121
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.19985 bits
Comma size	unnoticeable
S-expression	S171
Open this interval in xen-calc

29241/29240, the locquirecisma, is a 43-limit superparticular comma of about 0.059 cents.

Commatic relationships

This comma is the difference between the following superparticular pairs:

• 171/170 and 172/171
• 1377/1376 and 1445/1444
• 1463/1462 and 1540/1539
• 2925/2924 and 3250/3249
• 9504/9503 and 14080/14079
• 9633/9632 and 14365/14364
• 14535/14534 and 28900/28899

It can be factored into the following superparticular ratios:

• 30856/30855 and 558657/558656
• 43681/43680 and 88452/88451

Temperaments

Tempering out this comma in the full 43-limit leads to the rank-13 temperament locquirecismic. Using the 2.3.5.17.19.43 subgroup leads to the rank-5 temperament locquirecic.

Locquirecic

Subgroup: 2.3.5.17.19.43

Comma list: 29241/29240

Mapping:

[⟨	1	1	2	4	4	3	],
⟨	0	1	0	0	0	4	],
⟨	0	0	1	0	0	-1	],
⟨	0	0	0	1	0	-1	],
⟨	0	0	0	0	1	2	]]

Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.951, ~5/4 = 386.316, ~17/16 = 104.961, ~19/16 = 297.500

Optimal ET sequence: 5ghn, 7ghn, 10, 12, 27g, 31, 34, 38nn, 39g, 51cg, 53n, 65n, 72, 84, 94, 106, 205n, 217n, 270, 323, 342, 354, 448, 460, 593, 718, 730, 947, 1053, 1677, 1771, 1783, 4026, 4973, 5809, 6756, 8539, 10782

Badness (Sintel): 0.046

Etymology

This comma was named by Francium in 2025. It refers to the postal code of Locquirec, France.

See also

• Unnoticeable comma
• List of superparticular intervals