User:PiotrGrochowski/Extra-Diatonic Intervals — 50edo - Revision history

Xenwolf: Reverted edits by The55edoEht (talk) to last revision by PiotrGrochowski

2020-07-17T19:42:42Z

Reverted edits by The55edoEht (talk) to last revision by PiotrGrochowski

The55edoEht: this is officially completed naming from https://xen.miraheze.org/w/index.php?title=User:PiotrGrochowski/Extra-Diatonic_Intervals_%E2%80%94_50edo&action=edit

2020-07-17T15:52:01Z

this is officially completed naming from https://xen.miraheze.org/w/index.php?title=User:PiotrGrochowski/Extra-Diatonic_Intervals_%E2%80%94_50edo&action=edit

Show changes

PiotrGrochowski at 12:41, 7 October 2018

2018-10-07T12:41:18Z

← Older revision		Revision as of 12:41, 7 October 2018
Line 1:		Line 1:
	Like [[User:PiotrGrochowski/Extra-Diatonic Intervals]], but with 50edo instead of 43edo.		Like [[User:PiotrGrochowski/Extra-Diatonic Intervals]], but with 50edo instead of 43edo. Unlike [[User:PiotrGrochowski/Extra-Diatonic Intervals]], high and low do not stand for the septimal intervals, instead super and sub do. A 400 cent major third from [[12edo]] is a high major third.

	[[13-limit]] ratios are based on [[meanpop]] and are 69–integer–limit. They are valid to the amount of fifths, and need not necessarily convert to the same interval.		[[13-limit]] ratios are based on [[meanpop]] and are 69–integer–limit. They are valid to the amount of fifths, and need not necessarily convert to the same interval.

PiotrGrochowski: expand the table

2018-10-07T12:35:29Z

expand the table

@@ Line 97: / Line 97: @@
 |192
 | +2
+|
 |}

PiotrGrochowski at 18:46, 4 October 2018

2018-10-04T18:46:48Z

@@ Line 4: / Line 4: @@
 The base intervals come from the circle of fifths from -7 to 7 fifths: diminished octave, diminished fifth, minor second, minor sixth, minor third, minor seventh, fourth, unison, fifth, major second, major sixth, major third, major seventh, augmented fourth and augmented unison. This is unlike Igliashon's [[Extra-Diatonic Intervals]], which only uses -5 to +5 fifths. The reasoning for the expanded range is that a chromatic scale is made of 6 augmented fourths and 6 diminished fifths, as well as 7 minor seconds and 5 augmented unisons. In the other hand, the diminished fourth at -8 fifths is considered a wolf major third in [[5-limit]], and a septimal major third in [[7-limit]], so this system names it a high major third instead.
 {| class="wikitable"
@@ Line 50: / Line 52: @@
 |72
 | +7
+|
 |}

PiotrGrochowski: Created page with "Like User:PiotrGrochowski/Extra-Diatonic Intervals, but with 50edo instead of 43edo. 13-limit ratios are based on meanpop and are 69–integer–limit. They are v..."

2018-10-04T18:29:27Z

Created page with "Like User:PiotrGrochowski/Extra-Diatonic Intervals, but with 50edo instead of 43edo. 13-limit ratios are based on meanpop and are 69–integer–limit. They are v..."

New page

Like [[User:PiotrGrochowski/Extra-Diatonic Intervals]], but with 50edo instead of 43edo.

[[13-limit]] ratios are based on [[meanpop]] and are 69–integer–limit. They are valid to the amount of fifths, and need not necessarily convert to the same interval.

The base intervals come from the circle of fifths from -7 to 7 fifths: diminished octave, diminished fifth, minor second, minor sixth, minor third, minor seventh, fourth, unison, fifth, major second, major sixth, major third, major seventh, augmented fourth and augmented unison. This is unlike Igliashon's [[Extra-Diatonic Intervals]], which only uses -5 to +5 fifths. The reasoning for the expanded range is that a chromatic scale is made of 6 augmented fourths and 6 diminished fifths, as well as 7 minor seconds and 5 augmented unisons. In the other hand, the diminished fourth at -8 fifths is considered a wolf major third in [[5-limit]], and a septimal major third in [[7-limit]], so this system names it a high major third instead.

{| class="wikitable"
|-
|interval
|[[19edo]] steps
|[[31edo]] steps
|[[50edo]] steps
|[[81edo]] steps
|50edo [[cent]]s
|fifths
|[[13-limit]] ratios
|-
|unison
|0
|0
|0
|0
|0
|0
|1/1
|-
|high unison
|0
|1
|1
|2
|24
| +19
|
|-
|low augmented unison
|1
|1
|2
|3
|48
| -12
|
|-
|augmented unison
|1
|2
|3
|5
|72
| +7
|
|}