Just interval names

Can someone fill in what some of the following tones should be
called? Or is using the ratio as interval name the more common use?
Just in case I've gotten some things wrong, I've jotted down the
terms I've been using.

Notationally, for the nuetrals, I've been using the half-sharp and
half-flat way the Turks indicate 1/4 tones. I'm not sure what would
be used for the slighter deviations, if anything. Context is 12TET
with indications for microtonal string bending and trem-bar dipping.

Apologies if this is too basic. Thanks

Niles H

16:15 112cents semitone
12:11 151 nuetral 2nd
11:10 165 ?
10:9 182 ?
9:8 210 Whole tone (2nd)

8:7 232 ? (harmonic maj 2nd?)
7:6 267 ?
6:5 316 Minor 3rd
11:9 347 nuetral 3rd
5:4 386 major 3rd

4:3 498 perfect 4th
7:5 582.5 ? (just aug 4th?)
45:32 590 Aug 4th (?)
64:45 610 Dim 5th (?)
10:7 617.7 ? (just dim 5th?)

3:2 702 Perfect 5th
11:7 782.5 ?
8:5 814 Minor 6th
18:11 853 Nuetral 6th
5:3 884 Major 6th
12:7 933 ?

7:4 967 Harmonic minor 7th
16:9 996 grave minor 7th
9:5 1018 Minor 7th
11:6 1049 Nuetral 7th
15:8 1088 Major 7th

Hello

You may find many suggestions in a single page at

http://home.earthlink.net/~kgann/Octave.html

François Laferrière

--- In tuning@yahoogroups.com, "nileshok" <hokkanen@s...> wrote:
> Can someone fill in what some of the following tones should be
> called? Or is using the ratio as interval name the more common use?
> Just in case I've gotten some things wrong, I've jotted down the
> terms I've been using.
>
> Notationally, for the nuetrals, I've been using the half-sharp and
> half-flat way the Turks indicate 1/4 tones. I'm not sure what would
> be used for the slighter deviations, if anything. Context is 12TET
> with indications for microtonal string bending and trem-bar dipping.
>
> Apologies if this is too basic. Thanks
>
> Niles H
>
>
> 16:15 112cents semitone
> 12:11 151 nuetral 2nd
> 11:10 165 ?
> 10:9 182 ?
> 9:8 210 Whole tone (2nd)
>
> 8:7 232 ? (harmonic maj 2nd?)
> 7:6 267 ?
> 6:5 316 Minor 3rd
> 11:9 347 nuetral 3rd
> 5:4 386 major 3rd
>
> 4:3 498 perfect 4th
> 7:5 582.5 ? (just aug 4th?)
> 45:32 590 Aug 4th (?)
> 64:45 610 Dim 5th (?)
> 10:7 617.7 ? (just dim 5th?)
>
> 3:2 702 Perfect 5th
> 11:7 782.5 ?
> 8:5 814 Minor 6th
> 18:11 853 Nuetral 6th
> 5:3 884 Major 6th
> 12:7 933 ?
>
> 7:4 967 Harmonic minor 7th
> 16:9 996 grave minor 7th
> 9:5 1018 Minor 7th
> 11:6 1049 Nuetral 7th
> 15:8 1088 Major 7th

--- In tuning@yahoogroups.com, "francois_laferriere"
<francois.laferriere@o...> wrote:
> Hello
>
> You may find many suggestions in a single page at
>
> http://home.earthlink.net/~kgann/Octave.html
>
> François Laferrière

you may find yet another set of suggestions in scala and compiled on
this page:

http://www.xs4all.nl/~huygensf/doc/intervals.html

like i said, no consensus exists. to avoid ambiguity, use numbers (or
prime factorizations when the numbers get too long).

--- In tuning@yahoogroups.com, "nileshok" <hokkanen@s...> wrote:

> Can someone fill in what some of the following tones should be
> called? Or is using the ratio as interval name the more common
>use?

yes, these are intervals, not tones.

oh, you meant using numbers instead of words? yes, that's a good
strategy. unfortunately, there is a variety of conflicting naming
schemes for just intervals (rameau, helmholtz, scala, etc.), and
inherent problems in the attempt to do so. for example, the
difference between a major second and a major sixth is not a perfect
fifth according to the names below. but i'll give you some
suggestions that will help you communicate successfully with most
people here.

> 16:15 112cents semitone

you might want to get more specific -- 16:15 is a 'just diatonic
semitone'.

> 12:11 151 nuetral 2nd

it's spelled 'neutral'.

> 10:9 182 ?
> 9:8 210 Whole tone (2nd)

10:9 is often called "minor tone" and 9:8 "major tone".

> 8:7 232 ? (harmonic maj 2nd?)

ratios with 7 in them are typically qualified as "septimal", so you
could call this "septimal major second".

> 7:6 267 ?

septimal minor third.

> 7:5 582.5 ? (just aug 4th?)
> 45:32 590 Aug 4th (?)
> 64:45 610 Dim 5th (?)
> 10:7 617.7 ? (just dim 5th?)

the term 'just' typically refers to a prime limit of 5, so i would
use it for the middle ones, and 'septimal' for the outer ones.

> 11:7 782.5 ?

'septimal minor sixth' could refer to this or to 14:9 -- watch out!

> 12:7 933 ?

'septimal major sixth'

> 7:4 967 Harmonic minor 7th
> 16:9 996 grave minor 7th

haven't seen 'grave' too often -- 'pythagorean minor 7th' should be
clear, though.

> 9:5 1018 Minor 7th

tricky. monz has it as 'just minor 7th', but that's not totally
unambiguous.

> 11:6 1049 Nuetral 7th
> 15:8 1088 Major 7th

you can look at the following proposal, in particular the big long
list near the bottom, and see if it's to your liking -- you'll see
the term 'classic' is used instead of 'just', but at least it's
somewhat "systematic", more so than my scrawlings above:

http://dkeenan.com/Music/IntervalNaming.htm

--- In tuning@yahoogroups.com, "Paul Erlich" <paul@s...> wrote:
> --- In tuning@yahoogroups.com, "francois_laferriere"
> <francois.laferriere@o...> wrote:
> > Hello
> >
> > You may find many suggestions in a single page at
> >
> > http://home.earthlink.net/~kgann/Octave.html
> >
> > François Laferrière
>
> you may find yet another set of suggestions in scala and compiled on
> this page:
>
> http://www.xs4all.nl/~huygensf/doc/intervals.html
>
> like i said, no consensus exists. to avoid ambiguity, use numbers (or
> prime factorizations when the numbers get too long).

And here are the results of using a logical system, which agrees
with most of the names used in Scala.
http://dkeenan.com/Music/Miracle/MiracleIntervalNaming.tx=
t

--- In tuning@yahoogroups.com, "Paul Erlich" <paul@s...> wrote:
> you can look at the following proposal, in particular the big long
> list near the bottom, and see if it's to your liking -- you'll see
> the term 'classic' is used instead of 'just', but at least it's
> somewhat "systematic", more so than my scrawlings above:
>
> http://dkeenan.com/Music/IntervalNaming.htm

Thanks for posting that Paul.

The new URL is
http://dkeenan.com/Music/IntervalNaming.htm

The same modification applies to all my old URLs.

The old ones will cease to exist in the near future.

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

> > 8:7 232 ? (harmonic maj 2nd?)
>
> ratios with 7 in them are typically qualified as "septimal", so you
> could call this "septimal major second".

I like the sub/super system for septimal consonances; that makes this
the supermajor second.

> > 7:6 267 ?
>
> septimal minor third.

And this the subminor third.

> > 7:5 582.5 ? (just aug 4th?)

If we kept on with the system, superfourth, with 10/7 a subfifth.
But no one uses these names, unfortunately.

> > 11:7 782.5 ?
>
> 'septimal minor sixth' could refer to this or to 14:9 -- watch out!

No it can't--11/7 isn't septimal.

> > 12:7 933 ?
>
> 'septimal major sixth'

Or supermajor sixth.