RE: notation

19-ET and 31-ET, being meantone tunings, use standard notation, where
the letters express the position on the circle of fifths mod 7, and the
sharps and flats correspond to shifts of 7 fifths. The five-line staff
predates 12-ET, which is only one possible meantone tuning. Here is the
standard notation for 19-ET:

0 C
1 C#
2 Db
3 D
4 D#
5 Eb
6 E
7 E#/Fb
8 F
9 F#
10 Gb
11 G
12 G#
13 Ab
14 A
15 A#
16 Bb
17 B
18 B#/cb
19 c

And for 31-ET:

0 C
1 Dbb (or C 1/2#)
2 C#
3 Db
4 C## (or D1/2b)
5 D
6 Ebb (or D 1/2#)
7 D#
8 Eb
9 D## (or E1/2b)
10 E
11 Fb (or E 1/2#)
12 E# (or F 1/2b)
13 F
14 Gbb (or F 1/2#)
15 F#
16 Gb
17 F## (or G 1/2b)
18 G
19 Abb (or G 1/2#)
20 G#
21 Ab
22 G## (or A 1/2b)
23 A
24 Bbb (or A 1/2#)
25 A#
26 Bb
27 A## (or B 1/2b)
28 B
29 Cb (or B 1/2#)
30 B# (or c 1/2b)
31 c



SMTPOriginator: tuning@eartha.mills.edu
From: lucy@ilhawaii.net
Subject: Notation for 19 and 31tET proposals
PostedDate: 08-08-97 03:48:28
SendTo: CN=coul1358/OU=AT/O=EZH
ReplyTo: tuning@eartha.mills.edu
$UpdatedBy: CN=notesrv2/OU=Server/O=EZH,CN=coul1358/OU=AT/O=EZH,CN=Manuel op de Coul/OU=AT/O=EZH
RouteServers: CN=notesrv2/OU=Server/O=EZH,CN=notesrv1/OU=Server/O=EZH
RouteTimes: 08-08-97 03:48:26-08-08-97 03:48:26,08-08-97 03:46:55-08-08-97 03:46:56
DeliveredDate: 08-08-97 03:46:56
Categories:
$Revisions:

Received: from ns.ezh.nl by notesrv2.ezh.nl (Lotus SMTP MTA v1.1 (385.6 5-6-1997)) with SMTP id
C12564ED.0009EC7E; Fri, 8 Aug 1997 03:48:23 +0200
Received: by ns.ezh.nl; (5.65v3.2/1.3/10May95) id AA05841; Fri, 8 Aug 1997 03:48:28 +0200
Date: Fri, 8 Aug 1997 03:48:28 +0200
Received: from ella.mills.edu by ns (smtpxd); id XA05839
Received: (qmail 25524 invoked from network); 8 Aug 1997 01:48:09 -0000
Received: from localhost (HELO ella.mills.edu) (127.0.0.1)
by localhost with SMTP; 8 Aug 1997 01:48:09 -0000
Message-Id:
Errors-To: madole@mills.edu
Reply-To: tuning@eartha.mills.edu
Originator: tuning@eartha.mills.edu
Sender: tuning@eartha.mills.edu