Ragismic microtemperaments: Difference between revisions

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m Hemiennealimmal: consistency with the maxim to show nontrivial equivalences
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=== Hemiennealimmal ===
=== Hemiennealimmal ===
Hemiennealimmal (72 & 198) has a period of 1/18 octave and tempers out the four smallest superparticular commas of the 11-limit JI, 2401/2400, 3025/3024, 4375/4374, and 9801/9800. Tempering out [[9801/9800]] leads an octave split into two equal parts. Notably, every one of these commas is part of one or more known infinite comma families; see directly below. It's worth noting that [[3025/3024]] is also equal to the product of the ragisma, S25/S27, and the kalisma, S33/S35 = S99; this is not shown below because it does not correspond to the form of a known infinite comma family.
Hemiennealimmal (72 & 198) has a period of 1/18 octave and tempers out the four smallest superparticular commas of the 11-limit JI, 2401/2400, 3025/3024, 4375/4374, and 9801/9800. Tempering out [[9801/9800]] leads an octave split into two equal parts. Notably, every one of these commas is part of one or more known infinite comma families; see directly below.


Its S-expression-based comma list is {([[3025/3024|S22/S24 = S55]],) [[4375/4374|S25/S27]], [[2401/2400|S49]], [[9801/9800|S33/S35 = S99]]}.
Its S-expression-based comma list is {([[3025/3024|S22/S24 = S55 = S25/S27 * S99]],) [[4375/4374|S25/S27]], [[2401/2400|S49]], [[9801/9800|S33/S35 = S99]]}.


Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11