TallKite

: Not sure what no-fives temperaments you want to name. No-fives quartismic is simply Saquinlu-azo. If for example you also temper out 99/98, that's Loruru & Saquinlu-azo. But there's a rule that's needed to ensure the name is unique: the 1st comma must have only one prime > 3, and it must be the smallest such prime. So you have to eliminale lo/lu by adding 5 of the 1st comma to the 2nd one, to get Satritriru. The final name is Satritriru & Loruru. Notice that the quartisma is no longer part of the name. Often very complex commas tend to get replaced with simpler ones. This is as it should be, because one is far more likely to actually employ a Loruru pump than a Saquinlu-azo pump! And the name should reference the more commonly used commas. Perhaps the most important characteristics of a temperament are the prime subgroup and the pergen. This one's pergen is (P8, P4/9), so it divides the 4th into 9 parts. So you could name it "Zala ninth-fourth". Zala means the 2.3.7.11 prime subgroup. But there will always be other temperaments with the same subgroup and pergen.