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limit discussion

🔗Daniel Wolf <DJWOLF_MATERIAL@xxxxxxxxxx.xxxx>

1/24/1999 11:12:21 AM

One remark about the discussion of the term 'limit'.

It is worth noting that the term 'limit' has been extended within the
tuning community beyond Partch's original usage for defining the highest
tonal-functional identity in a tuning system. This was prime-factor
independent and based on a compositional scheme, not on the abstract
resources of the system. (Partch was, of course, inconsistent here in that
he was fond of adding higher compound identities which he called
'inharmonic', e.g. ratios of 15).

The current usage of limit is more candid about the resources of the system
as a whole and is not tied into a single compositional orientation, and the
distinction now made between odd and prime limits (there's really no need
for additional terminology here) brings welcome specificity. However, this
more general usage of the term should not be used retroactively in reading
Partch as theorist.