2500/2499: Difference between revisions
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The '''sperasma''' is the [[17-limit]] [[superparticular]] [[comma]] with a ratio of '''2500/2499'''. | The '''sperasma''' is the [[17-limit]] [[superparticular]] [[comma]] with a ratio of '''2500/2499'''. | ||
== Commatic relations == | == Commatic relations == | ||
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* [[4375/4374]] and [[5832/5831]] | * [[4375/4374]] and [[5832/5831]] | ||
* [[3025/3024]] and [[14400/14399]] | * [[3025/3024]] and [[14400/14399]] | ||
== Temperaments == | |||
Tempering out this comma in the 17-limit results in the rank-6 '''sperasmic temperament''', or in the the 2.3.5.7.17 subgroup, the rank-4 '''speric temperament'''. | |||
== Etymology == | |||
The sperasma was named by [[Aura]] in 2023. It comes from the Latin verb "spērāre" meaning "to hope" or "to fear"<ref>[[Wiktionary: spero #Latin]]</ref>. | |||
== See also == | == See also == | ||
Revision as of 08:12, 17 February 2023
| Interval information |
reduced
The sperasma is the 17-limit superparticular comma with a ratio of 2500/2499.
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:
It factors into the following superparticular pairs:
- 4375/4374 and 5832/5831
- 3025/3024 and 14400/14399
Temperaments
Tempering out this comma in the 17-limit results in the rank-6 sperasmic temperament, or in the the 2.3.5.7.17 subgroup, the rank-4 speric temperament.
Etymology
The sperasma was named by Aura in 2023. It comes from the Latin verb "spērāre" meaning "to hope" or "to fear"[1].