159edo/Notation: Difference between revisions

Line 577:

Another system proposed by [[User:TallKite|TallKite]] involves simpler notation, with as few extra accidental pairs as possible. One could do with only one extra pair, only ups and downs (that is, darts), but one would need at least septuple ups, and in practice octuple or more, rendering such a system impractical. As a result, this system has two extra pairs of accidentals.

According to this system, 159edo would be notated with a combination of ups/downs and lifts/drops. The latter (referred to as "slants" here) are written / and \. The ups and downs are used as in 53edo, so one up is 3 edosteps. One lift is 1 edostep. Double-darts are dup and dud. Triple-darts are trup and trud.

According to this system, 159edo would be notated with a combination of ups/downs and lifts/drops. The latter (referred to as "slants" here) are written / and \. The ups and downs are used as in 53edo, so one up is 3 edosteps. One lift is 1 edostep. Double-darts are called dup and dud. Triple-darts are trup and trud. Double-slants are dublift and dubdrop.

<tt>

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1 / lift

2 ^\ updrop

// (~~double-lift~~)

// (dublift)

3 ^ up

4 ^/ uplift

5 ^^\ dupdrop

^// (up ~~double-lift~~)

^// (up dublift)

6 ^^ dup

vvv# trudsharp

vvv# (trudsharp)

7 ^^/ duplift

vvv/# trudlift sharp

vvv/# (trudlift sharp)

8 ^^^\ trupdrop

^^// (dup ~~double-lift~~)

^^// (dup dublift)

vv\# duddrop sharp

9 ^^^ trup

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10 ^^^/ truplift

vv/# dudlift sharp

v\\# (down ~~double-drop~~ sharp)

v\\# (down dubdrop sharp)

11 v\# downdrop sharp

12 v# downsharp

13 v/# downlift sharp

\\# (~~double-drop~~ sharp)

\\# (dubdrop sharp)

14 \# dropsharp

15 # sharp

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Notes flatter than natural can be deduced by symmetry, i.e. C \C v/C vC v\C etc. Notes beyond sharp just run through the same list, but adding "sharp":

sharp, liftsharp, updrop sharp (or ~~double-lift~~ sharp), upsharp, uplift sharp...

sharp, liftsharp, updrop sharp (or dublift sharp), upsharp, uplift sharp...

going to double-sharp eventually.

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The spectrum of qualities looks like this:

<tt>

0 m minor

-6 vvm dudminor (same as dupmajor of the next lower degree)

1 /m liftminor

-5 vv/m dudlift minor

2 ^\m updrop minor

-4 v\m downdrop minor

3 ^m upminor

-3 vm dropminor

4 ^/m uplift minor

-2 v/m downlift minor

5 v\~ downdropmid

\\m (dubdrop minor)

6 v~ downmid

-1 \m dropminor

7 v/~ downliftmid

0 m minor

8 ^\~ updropmid

1 /m liftminor

9 ^~ upmid

2 ^\m updrop minor

10 ^/~ upliftmid

//m (dublift minor)

11 v\M downdrop major

3 ^m upminor

12 vM downmajor

4 ^/m uplift minor

13 v/M downlift major

5 v\~ downdropmid

14 \M dropmajor

6 v~ downmid

15 M major

7 v/~ downliftmid

16 /M liftmajor

8 ^\~ updropmid

17 ^\M updrop major

9 ^~ upmid

18 ^M upmajor

10 ^/~ upliftmid

19 ^/M uplift major

11 v\M downdrop major

~~etc.~~

12 vM downmajor

13 v/M downlift major

\\M (dubdrop major)

14 \M dropmajor

15 M major

16 /M liftmajor

17 ^\M updrop major

//M (dublift major)

18 ^M upmajor

19 ^/M uplift major

20 ^^\M dupdrop major

21 ^^M dupmajor (same as dudminor of the next higher degree)

</tt>

@@ Line 577: / Line 577: @@
 Another system proposed by [[User:TallKite|TallKite]] involves simpler notation, with as few extra accidental pairs as possible.  One could do with only one extra pair, only ups and downs (that is, darts), but one would need at least septuple ups, and in practice octuple or more, rendering such a system impractical. As a result, this system has two extra pairs of accidentals.
-According to this system, 159edo would be notated with a combination of ups/downs and lifts/drops. The latter (referred to as "slants" here) are written / and \. The ups and downs are used as in 53edo, so one up is 3 edosteps. One lift is 1 edostep. Double-darts are dup and dud. Triple-darts are trup and trud.
+According to this system, 159edo would be notated with a combination of ups/downs and lifts/drops. The latter (referred to as "slants" here) are written / and \. The ups and downs are used as in 53edo, so one up is 3 edosteps. One lift is 1 edostep. Double-darts are called dup and dud. Triple-darts are trup and trud. Double-slants are dublift and dubdrop.
 <tt>
@@ Line 583: / Line 583: @@
 / 	lift
 ^\ 	updrop
-    // 	(double-lift)
+    // 	(dublift)
 ^ 	up
 ^/ 	uplift
 ^^\ 	dupdrop
-    ^// 	(up double-lift)
+    ^// 	(up dublift)
 ^^ 	dup
-    vvv#	trudsharp
+    vvv#	(trudsharp)
 ^^/	duplift
-    vvv/# trudlift sharp
+    vvv/# (trudlift sharp)
 ^^^\	trupdrop
-    ^^//	(dup double-lift)
+    ^^//	(dup dublift)
     vv\#	duddrop sharp
 ^^^	trup
@@ Line 599: / Line 599: @@
 ^^^/ truplift
      vv/# dudlift sharp
-     v\\# (down double-drop sharp)
+     v\\# (down dubdrop sharp)
 v\#	downdrop sharp
 v#	downsharp
 v/#	downlift sharp
-     \\#	(double-drop sharp)
+     \\#	(dubdrop sharp)
 \#	dropsharp
 #	sharp
@@ Line 609: / Line 609: @@
 Notes flatter than natural can be deduced by symmetry, i.e. C \C v/C vC v\C etc. Notes beyond sharp just run through the same list, but adding "sharp":
-sharp, liftsharp, updrop sharp (or double-lift sharp), upsharp, uplift sharp...
+sharp, liftsharp, updrop sharp (or dublift sharp), upsharp, uplift sharp...
 going to double-sharp eventually.
@@ Line 616: / Line 616: @@
 The spectrum of qualities looks like this:
 <tt>
-m	minor
+  -6 vvm   dudminor (same as dupmajor of the next lower degree)
-  /m 	liftminor
+  -5 vv/m  dudlift minor
-^\m	updrop minor
+  -4 v\m   downdrop minor
-^m 	upminor
+ -3 vm    dropminor
-^/m	uplift minor
+ -2 v/m   downlift minor
-v\~	downdropmid
+    \\m  (dubdrop minor)
-v~	downmid
+ -1 \m    dropminor
-v/~	downliftmid
+m	 minor
-^\~	updropmid
+/m 	 liftminor
-^~	upmid
+^\m	 updrop minor
-^/~	upliftmid
+    //m  (dublift minor)
-v\M	downdrop major
+^m 	 upminor
-vM	downmajor
+^/m	 uplift minor
-v/M	downlift major
+v\~	 downdropmid
-\M	dropmajor
+v~	 downmid
-M	major
+v/~	 downliftmid
-/M 	liftmajor
+^\~	 updropmid
-^\M	updrop major
+^~	 upmid
-^M	upmajor
+^/~	 upliftmid
-^/M	uplift major
+v\M	 downdrop major
-  etc.
+vM	 downmajor
+v/M	 downlift major
+    \\M  (dubdrop major)
+\M	 dropmajor
+M	 major
+/M 	 liftmajor
+^\M	 updrop major
+    //M  (dublift major)
+^M	 upmajor
+^/M	 uplift major
+^^\M  dupdrop major
+^^M   dupmajor (same as dudminor of the next higher degree)
 </tt>