User:Ganaram inukshuk/Diagrams - Revision history

Ganaram inukshuk: Found that Erv Wilson described the mos family tree so I linked to the relevant source.

2022-07-29T06:45:23Z

Found that Erv Wilson described the mos family tree so I linked to the relevant source.

← Older revision		Revision as of 06:45, 29 July 2022
Line 5:		Line 5:

	Personal note: <s>I don't think I've ever seen a scale tree organized like this, but I'd be curious to know if it's been conceived elsewhere. The fact that it only contains single-period scales makes it unusual compared to other scale trees.</s> It turns out this is a [[wikipedia:Stern–Brocot_tree\|Stern-Brocot tree]] adapted to show the relationship between MOSses. SB trees only ever show ratios in their reduced form, hence why the MOS family tree only shows single-period MOSses.		Personal note: <s>I don't think I've ever seen a scale tree organized like this, but I'd be curious to know if it's been conceived elsewhere. The fact that it only contains single-period scales makes it unusual compared to other scale trees.</s> It turns out this is a [[wikipedia:Stern–Brocot_tree\|Stern-Brocot tree]] adapted to show the relationship between MOSses. SB trees only ever show ratios in their reduced form, hence why the MOS family tree only shows single-period MOSses.

			Update (2022-07-28): This type of diagram was already by described by Erv Wilson, with connections to Fibonacci's "rabbit sequence". http://anaphoria.com/RabbitSequence.pdf

	=== Single-period MOSses only ===		=== Single-period MOSses only ===

Ganaram inukshuk: 17edo rectangular horogram picture added

2022-03-12T20:37:09Z

17edo rectangular horogram picture added

← Older revision		Revision as of 20:37, 12 March 2022
Line 37:		Line 37:

	[[File:Family tree of mv2 scales with multi period scales.svg\|frameless\|1500x1500px]]		[[File:Family tree of mv2 scales with multi period scales.svg\|frameless\|1500x1500px]]

			== MOS Diagrams for a Specific EDO ==
			I've found it easier to conceptualize the relationship between scales with a given generator pair if it's represented rectangularly instead of circularly. Here's an example of a "rectangular horogram" for 17edo.

			[[File:17edo Rectangular Horograms.png\|2000x2000px]]

Ganaram inukshuk: /* Family Tree of MOSses */

2022-01-13T07:53:46Z

Family Tree of MOSses

← Older revision		Revision as of 07:53, 13 January 2022
Line 35:		Line 35:
	=== Including Multi-period MOSses ===		=== Including Multi-period MOSses ===
	By including multi-period MOSses, the family tree's similarity to the Stern-Brocot tree becomes more apparent.		By including multi-period MOSses, the family tree's similarity to the Stern-Brocot tree becomes more apparent.

	[[File:Family tree of mv2 scales with multi period scales.svg\|frameless\|1500x1500px]]		[[File:Family tree of mv2 scales with multi period scales.svg\|frameless\|1500x1500px]]

Ganaram inukshuk: /* Family Tree of MOSses */ Given the knowledge provided by others on the xen Discord, I uploaded another version of the MOS family tree that includes multi-period MOSses.

2022-01-13T07:51:46Z

Family Tree of MOSses: Given the knowledge provided by others on the xen Discord, I uploaded another version of the MOS family tree that includes multi-period MOSses.

← Older revision		Revision as of 07:51, 13 January 2022
Line 6:		Line 6:
	Personal note: <s>I don't think I've ever seen a scale tree organized like this, but I'd be curious to know if it's been conceived elsewhere. The fact that it only contains single-period scales makes it unusual compared to other scale trees.</s> It turns out this is a [[wikipedia:Stern–Brocot_tree\|Stern-Brocot tree]] adapted to show the relationship between MOSses. SB trees only ever show ratios in their reduced form, hence why the MOS family tree only shows single-period MOSses.		Personal note: <s>I don't think I've ever seen a scale tree organized like this, but I'd be curious to know if it's been conceived elsewhere. The fact that it only contains single-period scales makes it unusual compared to other scale trees.</s> It turns out this is a [[wikipedia:Stern–Brocot_tree\|Stern-Brocot tree]] adapted to show the relationship between MOSses. SB trees only ever show ratios in their reduced form, hence why the MOS family tree only shows single-period MOSses.

			=== Single-period MOSses only ===
	The scales depicted here are as follows, using TAMNAMS names wherever possible:		The scales depicted here are as follows, using TAMNAMS names wherever possible:

Line 30:		Line 31:
	## '''3L 8s''' and '''8L 3s''' - A pair of undecatonic scales. These scales are unnamed as of writing; these are children of 3L 5s.		## '''3L 8s''' and '''8L 3s''' - A pair of undecatonic scales. These scales are unnamed as of writing; these are children of 3L 5s.
	## '''5L 8s''' and '''8L 5s'''. A pair of tridecatonic scales. These scales are unnamed as of writing; these are children of 5L 3s.		## '''5L 8s''' and '''8L 5s'''. A pair of tridecatonic scales. These scales are unnamed as of writing; these are children of 5L 3s.
			[[File:Family_Tree_of_MOS-MV2_Scales.svg\|alt=\|1500x1500px]]

	[[File:Family ~~Tree~~ of ~~MOS-MV2 Scales~~.svg\|~~left~~]]		=== Including Multi-period MOSses ===
			By including multi-period MOSses, the family tree's similarity to the Stern-Brocot tree becomes more apparent.
			[[File:Family tree of mv2 scales with multi period scales.svg\|frameless\|1500x1500px]]

Ganaram inukshuk: /* Family Tree of MOSses */

2022-01-05T00:58:23Z

Family Tree of MOSses

← Older revision		Revision as of 00:58, 5 January 2022
Line 4:		Line 4:
	This is a family tree of MOSses based on using the production rules L->Ls, s->s and L->Ls, s->L on the brightest and darkest mode respectively on a parent scale to produce a pair of sister scales. The result is a binary tree that only includes single-period MOSses and organizes and relates scales by generation rather than by other metrics such as total note count or Farey sums. This tree is five layers deep.		This is a family tree of MOSses based on using the production rules L->Ls, s->s and L->Ls, s->L on the brightest and darkest mode respectively on a parent scale to produce a pair of sister scales. The result is a binary tree that only includes single-period MOSses and organizes and relates scales by generation rather than by other metrics such as total note count or Farey sums. This tree is five layers deep.

	Personal note: I don't think I've ever seen a scale tree organized like this, but I'd be curious to know if it's been conceived elsewhere. The fact that it only contains single-period scales makes it unusual compared to other scale trees.		Personal note: <s>I don't think I've ever seen a scale tree organized like this, but I'd be curious to know if it's been conceived elsewhere. The fact that it only contains single-period scales makes it unusual compared to other scale trees.</s> It turns out this is a [[wikipedia:Stern–Brocot_tree\|Stern-Brocot tree]] adapted to show the relationship between MOSses. SB trees only ever show ratios in their reduced form, hence why the MOS family tree only shows single-period MOSses.

	The scales depicted here are as follows, using TAMNAMS names wherever possible:		The scales depicted here are as follows, using TAMNAMS names wherever possible:

Ganaram inukshuk at 17:35, 4 January 2022

2022-01-04T17:35:46Z

← Older revision		Revision as of 17:35, 4 January 2022
Line 2:		Line 2:

	== Family Tree of MOSses ==		== Family Tree of MOSses ==
	This is a family tree of MOSses based on using the production rules L->Ls, s->s and L->Ls, s->L on the brightest and darkest mode respectively on a parent scale to produce a pair of sister scales. The result is a binary tree that ~~(as far as I can tell)~~ only includes single-period MOSses and organizes and relates scales by generation rather than by other metrics such as total note count or Farey sums. This tree is five layers deep.		This is a family tree of MOSses based on using the production rules L->Ls, s->s and L->Ls, s->L on the brightest and darkest mode respectively on a parent scale to produce a pair of sister scales. The result is a binary tree that only includes single-period MOSses and organizes and relates scales by generation rather than by other metrics such as total note count or Farey sums. This tree is five layers deep.

			Personal note: I don't think I've ever seen a scale tree organized like this, but I'd be curious to know if it's been conceived elsewhere. The fact that it only contains single-period scales makes it unusual compared to other scale trees.

	The scales depicted here are as follows, using TAMNAMS names wherever possible:		The scales depicted here are as follows, using TAMNAMS names wherever possible:

Ganaram inukshuk: /* Family Tree of MOSses */

2022-01-04T01:30:52Z

Family Tree of MOSses

@@ Line 2: / Line 2: @@
 == Family Tree of MOSses ==
-This is a family tree of MOSses based on using the production rules L->Ls, s->s and L->Ls, s->L on the brightest and darkest mode respectively on a parent scale to produce a pair of sister scales. The result is a binary tree that (as far as I can tell) only includes single-period MOSses and organizes scales by generation rather than by other metrics such as total note count or by relation by Farey sums. This tree is five layers deep.
+This is a family tree of MOSses based on using the production rules L->Ls, s->s and L->Ls, s->L on the brightest and darkest mode respectively on a parent scale to produce a pair of sister scales. The result is a binary tree that (as far as I can tell) only includes single-period MOSses and organizes and relates scales by generation rather than by other metrics such as total note count or Farey sums. This tree is five layers deep.
 [[File:Family Tree of MOS-MV2 Scales.svg|left]]

Ganaram inukshuk at 00:55, 4 January 2022

2022-01-04T00:55:28Z

← Older revision		Revision as of 00:55, 4 January 2022
Line 1:		Line 1:
	This page is for xen-related diagrams that I've made but don't have an exact place elsewhere on the wiki.		This page is for xen-related diagrams that I've made but don't have an exact place elsewhere on the wiki (yet).

	== Family Tree of MOSses ==		== Family Tree of MOSses ==
	This is a family tree of MOSses based on using the production rules L->Ls, s->s and L->Ls, s->L on the brightest and darkest mode respectively on a parent scale to produce a pair of sister scales. The result is a binary tree that (as far as I can tell) only includes single-period MOSses and organizes scales by generation rather than by other metrics such as total note count or by relation by Farey sums. This tree is five layers deep.		This is a family tree of MOSses based on using the production rules L->Ls, s->s and L->Ls, s->L on the brightest and darkest mode respectively on a parent scale to produce a pair of sister scales. The result is a binary tree that (as far as I can tell) only includes single-period MOSses and organizes scales by generation rather than by other metrics such as total note count or by relation by Farey sums. This tree is five layers deep.
	[[File:Family Tree of MOS-MV2 Scales.svg\|left]]		[[File:Family Tree of MOS-MV2 Scales.svg\|left]]

Ganaram inukshuk at 00:52, 4 January 2022

2022-01-04T00:52:58Z

← Older revision		Revision as of 00:52, 4 January 2022
Line 1:		Line 1:
	This page is for xen-related diagrams that I've made but don't have an exact place elsewhere on the wiki.		This page is for xen-related diagrams that I've made but don't have an exact place elsewhere on the wiki.

			== Family Tree of MOSses ==
			This is a family tree of MOSses based on using the production rules L->Ls, s->s and L->Ls, s->L on the brightest and darkest mode respectively on a parent scale to produce a pair of sister scales. The result is a binary tree that (as far as I can tell) only includes single-period MOSses and organizes scales by generation rather than by other metrics such as total note count or by relation by Farey sums. This tree is five layers deep.
			[[File:Family Tree of MOS-MV2 Scales.svg\|left]]

Ganaram inukshuk: Created page with "This page is for xen-related diagrams that I've made but don't have an exact place elsewhere on the wiki."

2022-01-04T00:42:20Z

Created page with "This page is for xen-related diagrams that I've made but don't have an exact place elsewhere on the wiki."

New page

This page is for xen-related diagrams that I've made but don't have an exact place elsewhere on the wiki.