Re: 2 types of consistency

In-Reply-To: <007401c1aebe$a60be060$af48620c@dsl.att.net>
monz wrote:

> my short-term solution is to label them with their authors's
> names, as Manuel did with stability and impropriety. so we'll
> have Erlich consistency and Breed consistency?
>
> hopefully we can do better than that... any ideas for a new name?

I use "consistency" to mean several different things, and the context
should make it obvious which. There's no need for new names. You may
want them all explained though.

If I say a particular equal temperament is consistent in a given
consonance limit, that means the nearest approximations to all the
consonant intervals add up correctly.

If I say a chord is consistent with a mapping, that means the consonances
I'm talking about map correctly to the notes I'm talking about. Or if I
haven't mentioned any notes I'll mean that the chord is capable of being
mapped.

If I say I'm using a consistent mapping of an equal temperament, it means
all the chords I'm using are consistent with that mapping. Or, at least,
I'm writing the chords as ratios according to the mapping. But usually I
won't say this, because the word "consistent" is redundant.

If I say an equal temperament is consistent with a linear temperament, it
means that the ET is a particular tuning of the LT where some interval
becomes a unison. That would mean the LT mapping becomes a sensible one
for the ET as well -- the nearest approximations for a consistent ET
unless I say otherwise.

I don't see how any of these usages could be confused, and except the
first one they're fairly obvious without definitions anyway. At least if
you understand the other concepts involved, like mappings, which will have
to be defined.

Graham

--- In tuning@y..., graham@m... wrote:

/tuning/topicId_33724.html#33724

> In-Reply-To: <007401c1aebe$a60be060$af48620c@d...>
> monz wrote:
>
> > my short-term solution is to label them with their authors's
> > names, as Manuel did with stability and impropriety. so we'll
> > have Erlich consistency and Breed consistency?
> >
> > hopefully we can do better than that... any ideas for a new name?
>
> I use "consistency" to mean several different things, and the
context
> should make it obvious which. There's no need for new names. You
may
> want them all explained though.
>
> If I say a particular equal temperament is consistent in a given
> consonance limit, that means the nearest approximations to all the
> consonant intervals add up correctly.
>
> If I say a chord is consistent with a mapping, that means the
consonances
> I'm talking about map correctly to the notes I'm talking about. Or
if I
> haven't mentioned any notes I'll mean that the chord is capable of
being
> mapped.
>
> If I say I'm using a consistent mapping of an equal temperament, it
means
> all the chords I'm using are consistent with that mapping. Or, at
least,
> I'm writing the chords as ratios according to the mapping. But
usually I
> won't say this, because the word "consistent" is redundant.
>
> If I say an equal temperament is consistent with a linear
temperament, it
> means that the ET is a particular tuning of the LT where some
interval
> becomes a unison. That would mean the LT mapping becomes a
sensible one
> for the ET as well -- the nearest approximations for a consistent
ET
> unless I say otherwise.
>
> I don't see how any of these usages could be confused, and except
the
> first one they're fairly obvious without definitions anyway. At
least if
> you understand the other concepts involved, like mappings, which
will have
> to be defined.
>
>
> Graham

****Thanks, Graham. That's pretty clear... So I guess Monz will just
have to give several different examples in his dictionary, as you've
done above.... In fact, he could maybe use *those...*

J. Pehrson