Fw: [tuning] 5-limit maximal tetradic comma pumps

> Mike wrote:
>
>> I hear amity as not being too tonally distant at all, really. It
>> sounds like a chord progression in 12-tet in which the pitch slowly
>> drifts until you end back from where you started. Which is what comma
>> pumps often sound like
>
> Maybe that's because the first and last chord of the smaller part of the > progression are essentially a syntonic comma apart (like F, Bb, Eb, C\, > F\).
>
>> (although I'm really getting the hang of
>> porcupine as its own "thing" now), but amity's is so gradual that it
>> almost feels "artificial" to me. I feel like the non-major 7 one was
>> easier to hear as a "different" thing. Not sure why that is.
>
> I thought about your porcupine suggestion yesterday and tried to make a > list of step sizes which would make a maximal tetradic pump in some > temperaments which I've selected for the time being.
> Here I'm disregarding the fact if the pump goes in one direction or the > other, I've just chosen the step sizes in such a way that all of them > could be greater than 1/1.
> If you find mistakes there, don't be surprised - I was doing it all in my > head.
>
> So, this is what I've got:
> Meantone, porcupine, tetracot, superpyth, semisixth, unicorn, amity
> 5/4, 16/15
>
> Hanson
> 3/2, 16/15
>
> Magic, wuerschmidt
> 3/2, 10/9
>
> Diaschismatic, negri, schismatic, passion, orwell, miracle
> 6/5, 10/9
>
> Petr
>
>
>