perm filename P10[C1,LCS] blob
sn#454031 filedate 1979-06-28 generic text, type C, neo UTF8
COMMENT ⊗ VALID 00003 PAGES
C REC PAGE DESCRIPTION
C00001 00001
C00002 00002 . DEVICE XGP
C00004 00003 .FILL INDENT 6
C00008 ENDMK
C⊗;
. DEVICE XGP
.spacing 10*5 mills;
.EVERY HEADING(,{PAGE},)
.AREA TEXT LINES 4 TO 40
.FONT 1 "METL"
.font 2 "METLI"
.font 3 "METS"
.font 4 "MUS[HHA,LCS]"
.FONT 6 "BASL35"
.!XGPLFTMAR←283
.PORTION MAIN;
.PLACE TEXT;
.COMPACT
.<< Put in a footnote. >>
.
.COUNT FOOTNOTE INLINE FROM 1 TO 999 IN PAGE PRINTING ⊂"*****"[1 TO FOOTNOTE]⊃
.<< (IF THISDEVICE = "XGP" THEN "%51%*" ELSE "[1]");>>
.
.FOOTSEP ← "__________";
.AT "$$" ENTRY "$"
. ⊂
. NEXT FOOTNOTE;
. FOOTNOTE!;
. SEND FOOT
. ⊂
. BEGIN "NEXT FOOTNOTE"
. SELECT 1;
. SINGLE SPACE
. SPACING 0 MILLS
. INDENT 0,0,0;
. (FOOTNOTE! & " ");
ENTRY
. END "NEXT FOOTNOTE";
. ⊃;
. ⊃;
.
.TURN ON "%↓_↑↓[&]","α"
.at "!!" txt ";" ⊂
.("↑[%3"&"txt"[1]&"]&↓["&"txt"[2]&"]%*");
.COMMENT ("txt"[1]&"↑[%3"&"txt"[2]&"]&↓["&"txt"[3]&"]%*");
. ⊃
.PAGE←9
.NEXT PAGE
.FILL INDENT 6
Continuing this approach, we find that the %2tritone%1 (augmented
4th or diminished 5th) may be thought of as the tonality-defining
interval, since its presence between the 4th and 7th is
unique in relation to all the other intervals found between the
degrees of a %2major%1 scale.
.begin verbatim
Example 4
.end
.CENTER
%6⊂⊗⊃L[α%0.00,α%-1.95]:XXX4.PLT[C1,LCS]⊂⊗⊃%1
.SKIP 9
.FILL INDENT 6
However, one more note must be involved so that we may be
made aware of the particular role of each part of the tritone.
Since, in a %2major key%1, one or the other of the parts of a tritone
must be the unalterable 4th of the scale, the whole step above it
%2must%1 be the equally unalterable 5th.
.begin verbatim
Example 5
.end
.CENTER
%6⊂⊗⊃L[α%0.00,α%-1.07]:XXX5.PLT[C1,LCS]⊂⊗⊃%1
.NEXT PAGE
.FILL INDENT 6
It follows that when a note is heard a half-step above either
part of a tritone, it must be the tonic.
.begin verbatim
Example 6
.end
.CENTER
%6⊂⊗⊃L[α%0.00,α%-0.77]:XXX6.PLT[C1,LCS]⊂⊗⊃%1
.SKIP 4
.FILL INDENT 6
Thus, in the major mode, we have two groups of three notes,
either of which may suffice to define a tonal center -- the 1st,
4th, and 7th, or the 5th, 4th, and 7th. It must be noted that
these intervals need not occur between %2adjacent%1 tones only.
Other less critical notes may separate these scale degrees
within a melodic unit. An important thing to remember is that the
tritones formed as the result of the alterations (flattings) that
create the %2minor%1 scale do not serve the same purpose of tonic
definition. Of course, composers often take advantage of this
obvious possibility of ambiguity in order to shift tonics. The
"altered" notes in the original key become "unaltered" notes in
the new key, etc.
.begin verbatim
Example 7
.end
.CENTER
%6⊂⊗⊃L[α%0.00,α%-1.23]:XXX7.PLT[C1,LCS]⊂⊗⊃%1
.skip 5
.FILL INDENT 6
The next example shows how the various temporary tonics of
a somewhat chromatic line might be ascertained. Among the notes
heard in measure 17 and the first two beats of measure 18, two
tritone relations may be found -- A%4F%1-D and F-B.