Reply to Monz [from MMM]

>Hi Paul,

Hi Monz.

>--- In MakeMicroMusic@yahoogroups.com, "Paul Erlich" <paul@s...>
>wrote:
>> --- In MakeMicroMusic@yahoogroups.com, "monz" <monz@t...> wrote:

>> > 12-ET is a member of both the pythagorean and meantone
>> > temperament families.
>
>> There's no such thing as the pythagorean temperament family.
>> Pythagorean is a form of JI, not temperament.

>Right ... i meant "Aristoxenean". sorry.

>I missed the switch to "Compton" ... you can tell me about
>that on the tuning list, or privately when we work out the
>Encyclopedia error corrections.

>-monz

As far as I can tell, Aristoxenus did not in any way shape or form
refer to 5-limit ratios (consonances or otherwise), let alone to ways
of simply approximating them. But this is specifically a 5-limit
temperament (class) we're talking about. Optimally tuned, it looks
like parallel 12-equal chains about 15 cents apart. As a way of
approximating pure 5-limit harmonies, something very much this was
proposed by Harald Waage (who also used it for 7-limit), but
something even more like it was proposed by John Haywood Compton in
1933. So it seems much more prudent to name this temperament after
Compton than after Aristoxenus.