Diatonic range - Revision history

FloraC: +link

2021-10-07T12:32:21Z

+link

← Older revision		Revision as of 12:32, 7 October 2021
Line 54:		Line 54:

	== See also ==		== See also ==
			* [[5L 2s]]
	* [[Circle-of-fifths notation]]		* [[Circle-of-fifths notation]]
	* [[List of interesting fifths]]		* [[List of interesting fifths]]

	[[Category:Fifth]]		[[Category:Fifth]]

Xenwolf: complete definition of intervals M2, m2, and A1 in pseudo code

2021-06-10T17:31:03Z

complete definition of intervals M2, m2, and A1 in pseudo code

← Older revision		Revision as of 17:31, 10 June 2021
Line 1:		Line 1:
	The '''diatonic range''' is a size range of the [[fifth]] interval defined by the bounds 4\7 and 3\5.		The '''diatonic range''' is a size range of the [[fifth]] interval defined by the bounds 4\7 and 3\5.

	Stacked ([[octave-reduced]]) fifths (<code>R5</code>) within this range build scales with distinguishable "diatonic whole tones" (<code>2R5 - P8</code>), "diatonic semitones" (<code>3P8 - 5*R5</code>), and "chromatic semitones" (<code>M2 - m2</code>) of a non-negative size. Some examples:		Stacked ([[octave-reduced]]) fifths (<code>R5</code>) within this range build scales with distinguishable
			* "diatonic whole tones" (<code>M2 := 2*R5 - P8</code>),
			* "diatonic semitones" (<code>m2 := 3P8 - 5R5</code>), and
			* "chromatic semitones" (<code>A1 := M2 - m2</code>)
			of a non-negative size. Some examples:

	{\| class="wikitable center-all"		{\| class="wikitable center-all"

Xenwolf: intro wording

2021-06-10T17:26:08Z

intro wording

← Older revision		Revision as of 17:26, 10 June 2021
Line 1:		Line 1:
	The '''diatonic range''' is a size range of [[fifth]] interval defined by the ~~corner intervals~~ 4\7 and 3\5.		The '''diatonic range''' is a size range of the [[fifth]] interval defined by the bounds 4\7 and 3\5.

	Stacked ([[octave-reduced]]) fifths (<code>R5</code>) within this range build scales with distinguishable "diatonic whole tones" (<code>2R5 - P8</code>), "diatonic semitones" (<code>3P8 - 5*R5</code>), and "chromatic semitones" (<code>M2 - m2</code>) of a non-negative size. Some examples:		Stacked ([[octave-reduced]]) fifths (<code>R5</code>) within this range build scales with distinguishable "diatonic whole tones" (<code>2R5 - P8</code>), "diatonic semitones" (<code>3P8 - 5*R5</code>), and "chromatic semitones" (<code>M2 - m2</code>) of a non-negative size. Some examples:

Xenwolf: Created page with "The '''diatonic range''' is a size range of fifth interval defined by the corner intervals 4\7 and 3\5. Stacked (octave-reduced) fifths (`R5`) within this..."

2021-06-10T16:38:42Z

Created page with "The '''diatonic range''' is a size range of fifth interval defined by the corner intervals 4\7 and 3\5. Stacked (octave-reduced) fifths (<code>R5</code>) within this..."

New page

The '''diatonic range''' is a size range of [[fifth]] interval defined by the corner intervals 4\7 and 3\5.

Stacked ([[octave-reduced]]) fifths (<code>R5</code>) within this range build scales with distinguishable "diatonic whole tones" (<code>2*R5 - P8</code>), "diatonic semitones" (<code>3*P8 - 5*R5</code>), and "chromatic semitones" (<code>M2 - m2</code>) of a non-negative size. Some examples:

{| class="wikitable center-all"
! rowspan="2" | 5th definition
! colspan="4" | Interval sizes ([[cent]]s)
! rowspan="2" | Comments
|-
! <abbr title=""ranged" fifth">R5</abbr>
! <abbr title="diatonic whole tone, major second">M2</abbr>
! <abbr title="diatonic semitone, minor second">m2</abbr>
! <abbr title="chromatic semitone, augmented unison">A1</abbr>
|-
| <abbr title="4 steps of 7 EDO">4\[[7 EDO|7]]</abbr>
| 686
| 171
| 171
| 0
| lower limit
|-
| <abbr title="11 steps of 19 EDO">11\[[19 EDO|19]]</abbr>
| 695
| 189
| 126
| 63
| 3:2 (L:s)
|-
| <abbr title="7 steps of 12 EDO">7\[[12 EDO|12]]</abbr>
| 700
| 200
| 100
| 100
| 2:1 (L:s)
|-
| <abbr title="10 steps of 17 EDO">10\[[17 EDO|17]]</abbr>
| 706
| 212
| 71
| 141
| 3:1 (L:s)
|-
| <abbr title="3 steps of 5 EDO">3\[[5 EDO|5]]</abbr>
| 720
| 240
| 0
| 240
| upper limit
|}

== See also ==

* [[Circle-of-fifths notation]]
* [[List of interesting fifths]]

[[Category:Fifth]]

Diatonic range - Revision history

FloraC: +link

Xenwolf: complete definition of intervals M2, m2, and A1 in pseudo code

Xenwolf: intro wording

Xenwolf: Created page with "The '''diatonic range''' is a size range of fifth interval defined by the corner intervals 4\7 and 3\5. Stacked (octave-reduced) fifths (R5) within this..."

Xenwolf: Created page with "The '''diatonic range''' is a size range of fifth interval defined by the corner intervals 4\7 and 3\5. Stacked (octave-reduced) fifths (`R5`) within this..."