User:Sintel/sandbox: Difference between revisions

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Line 1: Line 1:
=== box drawing scales ===
bold
<pre>
  L  L  s  L  L  L  s
┣━━━╋━━━╋━╋━━━╋━━━╋━━━╋━┫
C  D  E F  G  A  B c
</pre>
ascii
<pre>
  L  L  s  L  L  L  s
|---|---|-|---|---|---|-|
C  D  E F  G  A  B c
</pre>
thin
<pre>
  L  L  s  L  L  L  s
├───┼───┼─┼───┼───┼───┼─┤
C  D  E F  G  A  B c
</pre>
=== Uniform maps ===
{{Uniform map|limit=7|edo=12}}
{{Uniform map|limit=7|edo=15}}
{{Uniform map|limit=5|min=14.5|max=15.5}}
== Bravura ==
== Bravura ==
C<span style="line-height: 18px">{{Bravura|&#xE282;|200%}}</span>
C<span style="line-height: 18px">{{Bravura|&#xE280;|200%}}</span>


C{{Bravura|&#xE282;}}
C{{Bravura|&#xE282;}}
C{{Bravura|&#xE280;}}
C{{Bravura|&#xE280;}}


== testing lua stuff ==
== testing lua stuff ==


{{Infobox ET}}
{{Infobox ET|debug=1}}


{{EDO intro|17}}
{{ED intro|17}}


{{Harmonics in equal|17|intervals=odd}}
{{Harmonics in equal|17|intervals=odd}}
Line 21: Line 45:
| Color name = 3o6, tho 6th
| Color name = 3o6, tho 6th
| Sound = jid_13_8_pluck_adu_dr220.mp3
| Sound = jid_13_8_pluck_adu_dr220.mp3
| debug = 1
}}
}}
== Uniform maps ==
{{Uniform map|13|16.5|17.5}}


==== Mapping matrix markup ====
==== Mapping matrix markup ====

Latest revision as of 13:22, 21 August 2025

box drawing scales

bold 

  L   L  s  L   L   L  s
┣━━━╋━━━╋━╋━━━╋━━━╋━━━╋━┫
C   D   E F   G   A   B c

ascii 

  L   L  s  L   L   L  s
|---|---|-|---|---|---|-|
C   D   E F   G   A   B c

thin 

  L   L  s  L   L   L  s
├───┼───┼─┼───┼───┼───┼─┤
C   D   E F   G   A   B c

Uniform maps

7-limit uniform maps between 11.8 and 12.2
Min. size Max. size Wart notation Map
11.6722 11.8436 12cd ⟨12 19 27 33]
11.8436 11.9329 12d ⟨12 19 28 33]
11.9329 12.2743 12 ⟨12 19 28 34]
7-limit uniform maps between 14.8 and 15.2
Min. size Max. size Wart notation Map
14.7826 14.8268 15bc ⟨15 23 34 42]
14.8268 14.8583 15c ⟨15 24 34 42]
14.8583 15.1388 15 ⟨15 24 35 42]
15.1388 15.2890 15d ⟨15 24 35 43]
5-limit uniform maps between 14.5 and 15.5
Min. size Max. size Wart notation Map
14.5000 14.8268 15bc ⟨15 23 34]
14.8268 14.8583 15c ⟨15 24 34]
14.8583 15.2890 15 ⟨15 24 35]
15.2890 15.4578 15cc ⟨15 24 36]
15.4578 15.5000 15bbcc ⟨15 25 36]

Bravura

C C

testing lua stuff

← 11edo sandbox 13edo →
Prime factorization 22 × 3
Step size 100 ¢ (by definition) 
Fifth 7\12 (700 ¢)
(convergent)
Semitones (A1:m2) 1:1 (100 ¢ : 100 ¢)
Consistency limit 9
Distinct consistency limit 5
Special properties

17 equal divisions of the octave (abbreviated 17edo or 17ed2), also called 17-tone equal temperament (17tet) or 17 equal temperament (17et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 17 equal parts of about 70.6 ¢ each. Each step represents a frequency ratio of 21/17, or the 17th root of 2.


Approximation of odd harmonics in 17edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +3.9 -33.4 +19.4 +7.9 +13.4 +6.5 -29.4 -34.4 -15.2 +23.3 +7.0
Relative (%) +5.6 -47.3 +27.5 +11.1 +19.0 +9.3 -41.7 -48.7 -21.5 +33.1 +9.9
Steps
(reduced) 		27
(10) 		39
(5) 		48
(14) 		54
(3) 		59
(8) 		63
(12) 		66
(15) 		69
(1) 		72
(4) 		75
(7) 		77
(9)
Interval information
Ratio 13/8
Subgroup monzo 2.13 [-3 1⟩
Size in cents 840.5277¢
Name (lesser) tridecimal neutral sixth
Color name 3o6, tho 6th
FJS name [math]\displaystyle{ \text{m6}^{13} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 6.70044
Weil height (log2 max(n, d)) 7.40088
Wilson height (sopfr(nd)) 19

[sound info]
Open this interval in xen-calc

Mapping matrix markup

Using the pre tag: 

      2 3 5 
  2 [ 1 1 0]
3/2 [ 0 1 4]

Latex:

[math]\displaystyle{ \begin{array}{c c} & \begin{array}{c c c} 2 & 3 & 5 \\ \end{array} \\ \begin{array}{c c c}2 \\ 3/2 \end{array} & \left[ \begin{array}{c c c} 1 & 1 & 0 \\ 0 & 1 & 4 \end{array} \right] \end{array} }[/math]


CSS pre and ptt:

2 3 5 2 [ 1 1 0] 3/2 [ 0 1 4]

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