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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 == | ||