'The' Dominant Seventh Chord

Yo,

I went ahead and revised the bottom of my web page entitled "'The' Dominant
Seventh Chord". I set up a table for the sample chords, and to help
"visualize" the sounds, I have included:

- Duodenary arrangements, =E0 la Helmholtz/Ellis
- Tuning lattices, =E0 la Graham Breed (Thanks, Graham!)

Anyway, if you're interested, the web page is located at

http://www.pacificnet.net/~nowitzky/justint/dom7.htm

Thanks,
--Mark
+------------------------------------------------------+
| Mark Nowitzky |
| email: nowitzky@alum.mit.edu |
| www: http://www.pacificnet.net/~nowitzky |
| "If you haven't visited Mark Nowitzky's home |
| page recently, you haven't missed much..." |
+------------------------------------------------------+

Carl Lumma wrote,

>But if I'm breathing, I'm
>not at a loss to hear the "3-ness" in the 81/64 or the "5-ness" in the 5/4.

I don't know what you're breathing. Consider the following intervals:

Ratio Prime Limit Cents
34/27 17 399.1
63/50 7 400.1
92/73 73 400.5
29/23 29 401.3
82/65 41 402.2
53/42 53 402.7
77/61 61 403.3
101/80 101 403.5
24/19 19 404.4
115/91 23 405.2
91/72 13 405.4
67/53 67 405.8
43/34 43 406.6
62/49 31 407.4
81/64 3 407.8
100/79 79 408.1
119/94 47 408.3
138/109 109 408.4
19/15 19 409.2
147/116 23 410.0
128/101 101 410.1
109/86 109 410.3
90/71 71 410.5
71/56 71 410.9
52/41 41 411.5
33/26 13 412.7
80/63 7 413.6
47/37 47 414.2
61/48 61 414.9
75/59 59 415.4
89/70 89 415.7

If you have a way of tuning intervals with 0.1 cent precision, hold one
note constant and sweep the other one through this range. Without
looking, stop the sweep where you hear 3-ness. Do the same for 7-ness,
and, if you believe in such things, 13-ness, 17-ness, 19-ness, 23-ness,
29-ness, 31-ness, etc.

Be honest here. Personally, I hear nothing in this entire range but a
5/4 giving way to a 14/11. I'd be willing to believe Ken Wauchope if he
says he can hear a hint of consonance around the 19/15. But qualitative
differences like the ones between intervals of odd limit 3, 7, and 13? I
>doubt it!