Xenharmonic Wiki

FRACNAMS: Difference between revisions

← Older edit
VisualWikitext
R-4981 (talk | contribs)
171 edits
No edit summary
BudjarnLambeth (talk | contribs)
autopatrolled
18,215 edits
m Update todo, typo
 
(4 intermediate revisions by 3 users not shown)
Line 1: Line 1:
'''FRACNAMS''' ('''''F'''ractal-scale '''NAM'''ing '''S'''ystem''), is a christening system of names for [[Fractal scale]]s devised by the XA Discord in 2024. This naming system is heavily influenced by [[TAMNAMS]], but by nature is more widely defined in the scope of what each name represents. The ultimate goal of this system is to give appropriate names to fractal scales with all notable characteristics.
{{Idiosyncratic terms}}
 
'''FRACNAMS''' ('''''F'''ractal-scale '''NAM'''ing '''S'''ystem''), is a christening system of names for [[Fractal scale]]s devised by [[User:R-4981|R-4981]] in 2024. This naming system is heavily influenced by [[TAMNAMS]], but by nature is more widely defined in the scope of what each name represents. The ultimate goal of this system is to give appropriate names to fractal scales with all notable characteristics.
== Abstractly generalized names ==
 
The following names are the most abstract of the FRACNAMS, each one representing many (in some cases literally infinite) scales. These names were created for clarity and convenience, and therefore have no meaning on their own.
 
=== 3-interval pattern ===


== Agnostic 3-interval pattern ==
First, the simplest pattern is considered to be a fractal scale consisting of three intervals L>m>s (e.g., 1:2:3). This pattern is named as '''Gesture'''. There are three possible variants of this pattern, which are named '''Rock''', '''Paper''', and '''Scissors''', in that order.
First, the simplest pattern is considered to be a fractal scale consisting of three intervals L>m>s (e.g., 1:2:3). This pattern is named as '''Gesture'''. There are three possible variants of this pattern, which are named '''Rock''', '''Paper''', and '''Scissors''', in that order.


{| class="wikitable"
{| class="wikitable"
|+ Modes of Gesture
|+ style="font-size: 105%;" | Modes of Gesture
|-
! Mode rotational order
! Mode rotational order
! Division pattern
! Division pattern
Line 35: Line 32:


{| class="wikitable"
{| class="wikitable"
|+ Modes of Downer
|+ style="font-size: 105%;" | Modes of Downer
|-
! Mode rotational order
! Mode rotational order
! Division pattern
! Division pattern
Line 58: Line 56:


{| class="wikitable"
{| class="wikitable"
|+ Modes of Upper
|+ style="font-size: 105%;" | Modes of Upper
|-
! Mode rotational order
! Mode rotational order
! Division pattern
! Division pattern
Line 82: Line 81:
Modes can also be constructed in more complex and abstract ways, such as "meta-rotation".
Modes can also be constructed in more complex and abstract ways, such as "meta-rotation".


{{todo|expand|inline=1|comment=Add detailed infomation and name more patterns or modes.}}
{{todo|complete section|add examples|inline=1|comment=Add detailed information and name more patterns or modes.}}
 
=== 2-interval pattern ===
 
{{todo|expand|inline=1|comment=Name more patterns or modes.}}
 
== Specific names ==
 
[[Redbull]] is the first named Fractal scale and is composed by the ratio 1:√3, but its exact notation by formula deformation is <math>1:\frac{1-\sqrt{3}}{\sqrt{3}}</math>. In addition, the Logarithmic Fractal scale, which consists of 1:φ, has a separate name for each mode and is called '''Goldrush'''.
 
{| class="wikitable"
|+ Modes of Goldrush in 34edo
! Mode rotational order
! Mode binary numbering
! Division pattern
! FRACNAMS
! [[Step pattern]] (34edo)
! Scale [[degree]]s (34edo)
|-
| 0,0,0
| 0
| 1:φ, 1:φ, 1:φ
| Brazilian
| 8 5 5 3 5 3 3 2
| 8 13 18 21 26 29 32 34
|-
| 0,0,1
| 1
| 1:φ, 1:φ, φ:1
| Carolina
| 5 8 3 5 3 5 2 3
| 5 13 16 21 24 29 31 34
|-
| 0,1,0
| 2
| 1:φ, φ:1, 1:φ
| Georgia
| 5 3 8 5 3 2 5 3
| 5 8 16 21 24 26 31 34
|-
| 0,1,1
| 3
| 1:φ, φ:1, φ:1
| California
| 3 5 5 8 2 3 3 5
| 3 8 13 21 23 26 29 34
|-
| 1,0,0
| 4
| φ:1, 1:φ, 1:φ
| Cariboo
| 5 3 3 2 8 5 5 3
| 5 8 11 13 21 26 31 34
|-
| 1,0,1
| 5
| φ:1, 1:φ, φ:1
| Montana
| 3 5 2 3 5 8 3 5
| 3 8 10 13 18 26 29 34
|-
| 1,1,0
| 6
| φ:1, φ:1, 1:φ
| Bigbend
| 3 2 5 3 5 3 8 5
| 3 5 10 13 18 21 29 34
|-
| 1,1,1
| 7
| φ:1, φ:1, φ:1
| Omineca
| 2 3 3 5 3 5 5 8
| 2 5 8 13 16 21 26 34
|}


{{todo|expand|inline=1|comment=Name more scales.}}
== Agnostic 4-interval pattern ==
{{todo|complete section|add examples|inline=1|comment=Name more patterns or modes.}}


[[Category:Naming]]
[[Category:Scale naming]]
{{Stub}}
{{Stub}}
Retrieved from "https://en.xen.wiki/w/FRACNAMS"