2500/2499

Interval information

Ratio	2500/2499
Factorization	22 × 3-1 × 54 × 7-2 × 17-1
Monzo	[2 -1 4 -2 0 0 -1⟩
Size in cents	0.6926322¢
Name	sperasma
FJS name	[math]\displaystyle{ \text{ddd}{-3}^{5,5,5,5}_{7,7,17} }[/math]
Special properties	square superparticular, reduced
Tenney height (log2 nd)	22.5748
Weil height (log2 max(n, d))	22.5754
Wilson height (sopfr(nd))	58
Comma size	unnoticeable
S-expression	S50
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The sperasma is the 17-limit superparticular comma with a ratio of 2500/2499. Its name comes from the Latin verb "spērāre" meaning "to hope" or "to fear" (meaning "to hope" or "to fear").

Commatic relations

This comma is the difference between the following superparticular pairs:

• 50/49 and 51/50
• 120/119 and 126/125
• 375/374 and 441/440
• 625/624 and 833/832
• 715/714 and 1001/1000
• 1225/1224 and 2401/2400
• 1275/1274 and 2601/2600
• 2080/2079 and 12376/12375

Not to mention some nonsuperparticular but useful relations:

• 540/539 and 1377/1375
• 2025/2023 and 1701/1700

It factors into the following superparticular pairs:

• 4375/4374 and 5832/5831
• 3025/3024 and 14400/14399

See also

• Unnoticeable comma
• List of superparticular intervals