2500/2499: Difference between revisions

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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"<ref>[[Wiktionary: spero #Latin]]</ref>).
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"<ref>[[Wiktionary: spero #Latin]]</ref>).
== 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 ==
== See also ==

Revision as of 07:21, 17 February 2023

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
Open this interval in xen-calc

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"[1]).

Commatic relations

This comma is the difference between the following superparticular pairs:

Not to mention some nonsuperparticular but useful relations:

It factors into the following superparticular pairs:

See also

References