User:Coppner - Revision history

Coppner at 15:15, 11 August 2024

2024-08-11T15:15:40Z

@@ Line 43: / Line 43: @@
-:7:8:10:11:12
+Some observations
-- is pentatonic
+Is it a generator sequence? Every interval is unique, therefore it has as many generators as it does intervals (5) - does calling it a quinary GS even make sense here?
-- period is 12/5
+I feel like with every interval being present only once it somehow defeats the 'generator' aspect of GS.
-!! comparisons irrelevant because not harmonotonic !!
+.scl file
-in comparison to OD
+! 5_7_8_10_11_12.scl
-could be one specific scale/subset of 6-OD5/4 [5:6:7:8:9:10:11]

Coppner at 11:35, 11 August 2024

2024-08-11T11:35:16Z

← Older revision		Revision as of 11:35, 11 August 2024
Line 52:		Line 52:
	- is non-equal, (arithmetic) step sizes: 2/5, 1/5, 2/5, 1/5, 1/5		- is non-equal, (arithmetic) step sizes: 2/5, 1/5, 2/5, 1/5, 1/5
	- is still harmonotonic though? by nature of being a subset of the harmonic series		- is still harmonotonic though? by nature of being a subset of the harmonic series
			=> is actually not harmonotonic


	in my own semantics, I'd refer to it by 5->12[2,1,2,1,1] (from including overtone 5 to including overtone 12		in my own semantics, I'd refer to it by 5->12[2,1,2,1,1] (from including overtone 5 to including overtone 12
	in MTS-ESP Master I'd use the same semantics		in MTS-ESP Master I'd use the same semantics

			!! comparisons irrelevant because not harmonotonic !!
	in comparison to OS		in comparison to OS
	OS has one step size (interval p) and does not care about the end of the sequence/ the period, rather, it's approach is 'take the first n in the sequence'		OS has one step size (interval p) and does not care about the end of the sequence/ the period, rather, it's approach is 'take the first n in the sequence'
	I could do 2-OS2/5 but that would generate 5:7:9		I could do 2-OS2/5 but that would generate 5:7:9

	in comparison to OD		in comparison to OD
	could be one specific scale/subset of 6-OD5/4 [5:6:7:8:9:10:11]		could be one specific scale/subset of 6-OD5/4 [5:6:7:8:9:10:11]

Coppner at 11:27, 11 August 2024

2024-08-11T11:27:10Z

@@ Line 5: / Line 5: @@
 '''[DRAFT] Non-octave / generalized (?) overtone scale'''<br>
-TODO: research if a generalized form like this already exists<br><br>
+TODO: research if a generalized form like this already exists<br>
 Non-octave overtone scales are an approach to describe [[Overtone scale|overtone scales]] without the need of the [[octave]] as the period.<br>
 Therefore, they are [[non-octave]]-repeating scales based on a generating sequence which itself is a subset of the [[harmonic series]].<br>
-They can also be viewed as a form of [[Generator sequence|generator sequence]].<br>
+They can also be viewed as a form of [[generator sequence]].<br>
 Non-octave overtone scales are described by the form '''n...p:s'''<br>
@@ Line 32: / Line 40: @@
 etc.

Coppner at 09:23, 11 August 2024

2024-08-11T09:23:30Z

← Older revision		Revision as of 09:23, 11 August 2024
Line 5:		Line 5:

	'''[DRAFT] Non-octave / generalized (?) overtone scale'''<br>		'''[DRAFT] Non-octave / generalized (?) overtone scale'''<br>
			TODO: research if a generalized form like this already exists<br><br>
	Non-octave overtone scales are an approach to describe [[Overtone scale\|overtone scales]] without the need of the [[octave]] as the period.<br>		Non-octave overtone scales are an approach to describe [[Overtone scale\|overtone scales]] without the need of the [[octave]] as the period.<br>
	Therefore, they are [[non-octave]]-repeating scales based on a generating sequence which itself is a subset of the [[harmonic series]].<br>		Therefore, they are [[non-octave]]-repeating scales based on a generating sequence which itself is a subset of the [[harmonic series]].<br>

Coppner: coppner user page

2024-08-11T09:22:45Z

coppner user page

New page

'''coppner user page''' 
drafts of articles and edits by coppner go here
 

'''[DRAFT] Non-octave / generalized (?) overtone scale''' 
Non-octave overtone scales are an approach to describe [[Overtone scale|overtone scales]] without the need of the [[octave]] as the period. 
Therefore, they are [[non-octave]]-repeating scales based on a generating sequence which itself is a subset of the [[harmonic series]]. 
They can also be viewed as a form of [[Generator sequence|generator sequence]]. 

Non-octave overtone scales are described by the form '''n...p:s''' 

where

n ... root to which the following integers in the scale are relative to 
p ... the period of the scale 
s ... the step size, how many of the integers in the scale are skipped 

n...p describes the integer sequence from including n to including p, for example, 4...7 gives: [4, 5, 6, 7] 

for example, the scale '''4...9:1''' describes this 5-tone scale 
'''4/4 - 5/4 - 6/4 - 7/4 - 8/4 - 9/4''' 
the :1 indicates that every integer in the sequence is visited (step size of 1) 

Contrast this to '''4...9:2''' which generates the following 3-tone scale 
'''4/4 - 6/4 - 8/4 - 9/4''' 
note that the :2 indicates that every other integer in the sequence from n ... p is visited (step size of 2) 

Contrast this to '''4...9:3''' which generates the following 2-tone scale 
'''4/4 - 7/4 - 9/4''' 

etc.