1377/1376

Interval information

Ratio	1377/1376
Subgroup monzo	2.3.17.43 [-5 4 1 -1⟩
Size in cents	1.257707¢
Name	roberbauxisma
Color name	L43u17o1 lafothuso unison
FJS name	[math]\text{P1}^{17}_{43}[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	20.8536
Weil height (log2 max(n, d))	20.8546
Wilson height (sopfr(nd))	82
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.21299 bits
Comma size	unnoticeable
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1377/1376, the roberbauxisma, is a 43-limit superparticular comma of about 1.3 cents.

Commatic relationships

This comma is the difference between the following superparticular pairs:

• 81/80 and 86/85
• 153/152 and 172/171
• 216/215 and 256/255

It can be factored into the following superparticular intervals:

• 1445/1444 and 29241/29240
• 1463/1462 and 23409/23408
• 1521/1520 and 14535/14534
• 1665/1664 and 7956/7955
• 1683/1682 and 7569/7568
• 1701/1700 and 7225/7224
• 1764/1763 and 6273/6272
• 2025/2024 and 4301/4300
• 2108/2107 and 3969/3968
• 2601/2600 and 2925/2924

Temperaments

Tempering out this comma in the full 43-limit leads to the rank-13 temperament roberbauxismic. Using the 2.3.17.43 subgroup leads to the rank-3 temperament roberbauxic.

Roberbauxic

Subgroup: 2.3.17.43

Comma list: 1377/1376

Mapping:

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

Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.809, ~17/16 = 104.712

Optimal ET sequence: 5, 7gn, 7, 10n, 12, 58, 70, 82, 94, 106, 135, 147, 159, 171, 183, 424, 436, 448, 631, 1079, 1710g, 2170g

Badness (Sintel): 0.018

Etymology

This comma was named by Francium in 2025. It refers to 1377 Roberbauxa, the asteroid, which in turn was named after Robert Baux, a French engineer.

See also

• Unnoticeable comma
• List of superparticular intervals