Sercloreminisma

Interval information

Ratio	142884/142805
Factorization	22 × 36 × 5-1 × 72 × 13-4
Monzo	[2 6 -1 2 0 -4⟩
Size in cents	0.9574572¢
Name	sercloreminisma
Color name	3u4zzg1 bithuthuzo-agu unison
FJS name	[math]\text{AA1}^{7,7}_{5,13,13,13,13}[/math]
Special properties	reduced
Tenney height (log2 nd)	34.2482
Weil height (log2 max(n, d))	34.249
Wilson height (sopfr(nd))	93
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.20679 bits
Comma size	unnoticeable
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142884/142805, the sercloreminisma, is a 13-limit unnoticeable comma of about 0.96 cents.

Commatic relationships

This comma is the difference between the following pairs:

• 169/168 and 1701/1690
• 196/195 and 2197/2187
• 325/324 and 2205/2197
• 640/637 and 373248/371293
• 676/675 and 21168/21125
• 4394/4375 and 40824/40625

It factors into:

• 2401/2400 and 1399680/1399489
• 3381/3380 and 3888/3887
• 4096/4095 and 2250423/2249728
• 5832/5831 and 285719/285610
• 10648/10647 and 2250423/2249390
• 11016/11011 and 373527/373490
• 57375/57344 and 303464448/303460625
• 140625/140608 and 1016064/1015625
• 200000/199927 and 250047/250000
• 256000/255879 and 703096443/703040000

Temperaments

Tempering it out in the 13-limit leads to the rank-5 temperament sercloreminismic. Retracting it to the 2.3.5.7.13 subgroup leads to the rank-4 temperament sercloremine.

Adding the ratwolfsma, the swetisma and 40656/40625 to the comma list leads to the fermionic temperament.

Adding the breedsma, the kalisma and 67392/67375 leads to 13-limit titanium.

Sercloreminismic

Subgroup: 2.3.5.7.11.13

Comma list: 142884/142805

Mapping:

[⟨	1	0	0	1	0	1	],
⟨	0	1	0	1	0	2	],
⟨	0	0	2	1	0	0	],
⟨	0	0	0	2	0	1	],
⟨	0	0	0	0	1	0	]]

Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.913, ~189/169 = 193.164, ~18/13 = 563.168, ~11/8 = 551.318

Optimal ET sequence: 7, 12de, 17c, 19e, 19, 26, 36, 38df, 43, 49f, 62, 68, 87, 111, 130, 198, 224, 311, 373, 422, 441, 552, 639, 684, 814, 1012, 1236, 1920, 2932, 3156, 4168f, 5715f, 6088f

Sercloremine

Subgroup: 2.3.5.7.13

Comma list: 142884/142805

Mapping:

[⟨	1	0	0	1	1	],
⟨	0	1	0	1	2	],
⟨	0	0	2	1	0	],
⟨	0	0	0	2	1	]]

Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.913, ~189/169 = 193.164, ~18/13 = 563.168

Optimal ET sequence: 7, 12d, 17c, 19, 43, 49f, 62, 68, 87, 111, 130, 198, 217, 224, 243, 311, 354, 422, 441, 1106, 1236, 1677, 2361, 2932, 3597f, 4038f, 6529f

Etymology

The sercloreminisma was named by Francium in 2024. It refers to the ChemSpider ID of Sercloremine

See also

• Unnoticeable comma