User:Ganaram inukshuk/Code: Difference between revisions
Added the moscalc program I made some time back |
Added code link for JIRAF (short for JI ratio finder) |
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This page is for xen-related programming projects that I've made but don't have an exact place on the wiki (yet). | This page is for xen-related programming projects that I've made but don't have an exact place on the wiki (yet). | ||
== Mosfinder | == Mosfinder (C++) == | ||
I wrote a crude C++ program for finding all of the mosses for a given edo. | I wrote a crude C++ program for finding all of the mosses for a given edo. | ||
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</syntaxhighlight> | </syntaxhighlight> | ||
== Mosfinder | == Mosfinder (VBA) == | ||
Based on the C++ mosfinder and further experiments with copy-pasting tables from Excel and into the wiki editor, I ended up writing an Excel macro that's basically a port of the C++ mosfinder, with basic formatting for a table. The latest version has two versions of the same macro where one skips step visualization and lists the steps as a list of numbers. This version was created due to concerns of larger edos' step visualizations being harder to copy and paste. | Based on the C++ mosfinder and further experiments with copy-pasting tables from Excel and into the wiki editor, I ended up writing an Excel macro that's basically a port of the C++ mosfinder, with basic formatting for a table. The latest version has two versions of the same macro where one skips step visualization and lists the steps as a list of numbers. This version was created due to concerns of larger edos' step visualizations being harder to copy and paste. | ||
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== Moscalc | == Moscalc == | ||
This is a program that finds a string representing a mos xL ys in its brightest mode, given only x and y. | This is a program that finds a string representing a mos xL ys in its brightest mode, given only x and y. | ||
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LLLLLLsLLLLLs - 11L 2s | LLLLLLsLLLLLs - 11L 2s | ||
LLLLLLLLLLLLs - 12L 1s | LLLLLLLLLLLLs - 12L 1s | ||
== Moscalc and modecalc (Python) == | |||
This is a Python port of the aforementioned Moscalc program written in C++. This is accompanied by a Modecalc program that finds a scale's modes, the intervals for those modes, and the scale degrees for those modes. | |||
Source code: https://gist.github.com/GanaramInukshuk/3b09f806573ecd90745d1d7fad11abdc | |||
Example output for 3L 4s: | |||
Scale modes sorted by modal brightness: | |||
---------- --- ------ ------ ------ ------ ------ ------ ------ ------ | |||
Modestring UDP 0-step 1-step 2-step 3-step 4-step 5-step 6-step 7-step | |||
LsLsLss 0|6 0 L L+s 2L+s 2L+2s 3L+2s 3L+3s 3L+4s | |||
LsLssLs 1|5 0 L L+s 2L+s 2L+2s 2L+3s 3L+3s 3L+4s | |||
LssLsLs 2|4 0 L L+s L+2s 2L+2s 2L+3s 3L+3s 3L+4s | |||
sLsLsLs 3|3 0 s L+s L+2s 2L+2s 2L+3s 3L+3s 3L+4s | |||
sLsLssL 4|2 0 s L+s L+2s 2L+2s 2L+3s 2L+4s 3L+4s | |||
sLssLsL 5|1 0 s L+s L+2s L+3s 2L+3s 2L+4s 3L+4s | |||
ssLsLsL 6|0 0 s 2s L+2s L+3s 2L+3s 2L+4s 3L+4s | |||
---------- --- ------ ------ ------ ------ ------ ------ ------ ------ | |||
Scale modes sorted by cyclic permutational order (starting at brightest mode): | |||
---------- --- ------ ------ ------ ------ ------ ------ ------ ------ | |||
Modestring CPO 0-step 1-step 2-step 3-step 4-step 5-step 6-step 7-step | |||
LsLsLss 0 0 L L+s 2L+s 2L+2s 3L+2s 3L+3s 3L+4s | |||
sLsLssL 1 0 s L+s L+2s 2L+2s 2L+3s 2L+4s 3L+4s | |||
LsLssLs 2 0 L L+s 2L+s 2L+2s 2L+3s 3L+3s 3L+4s | |||
sLssLsL 3 0 s L+s L+2s L+3s 2L+3s 2L+4s 3L+4s | |||
LssLsLs 4 0 L L+s L+2s 2L+2s 2L+3s 3L+3s 3L+4s | |||
ssLsLsL 5 0 s 2s L+2s L+3s 2L+3s 2L+4s 3L+4s | |||
sLsLsLs 6 0 s L+s L+2s 2L+2s 2L+3s 3L+3s 3L+4s | |||
---------- --- ------ ------ ------ ------ ------ ------ ------ ------ | |||
Scale degrees for each mode (modes sorted by modal brightness): | |||
---------- --- ----- ----- ----- ----- ----- ----- ----- ----- | |||
Modestring UDP 0-deg 1-deg 2-deg 3-deg 4-deg 5-deg 6-deg 7-deg | |||
LsLsLss 0|6 0 1 1 1 1 1 1 0 | |||
LsLssLs 1|5 0 1 1 1 1 0 1 0 | |||
LssLsLs 2|4 0 1 1 0 1 0 1 0 | |||
sLsLsLs 3|3 0 0 1 0 1 0 1 0 | |||
sLsLssL 4|2 0 0 1 0 1 0 0 0 | |||
sLssLsL 5|1 0 0 1 0 0 0 0 0 | |||
ssLsLsL 6|0 0 0 0 0 0 0 0 0 | |||
---------- --- ----- ----- ----- ----- ----- ----- ----- ----- | |||
Scale degrees for each mode (modes sorted by cyclic permutational order): | |||
---------- --- ----- ----- ----- ----- ----- ----- ----- ----- | |||
Modestring CPO 0-deg 1-deg 2-deg 3-deg 4-deg 5-deg 6-deg 7-deg | |||
LsLsLss 0 0 1 1 1 1 1 1 0 | |||
sLsLssL 1 0 0 1 0 1 0 0 0 | |||
LsLssLs 2 0 1 1 1 1 0 1 0 | |||
sLssLsL 3 0 0 1 0 0 0 0 0 | |||
LssLsLs 4 0 1 1 0 1 0 1 0 | |||
ssLsLsL 5 0 0 0 0 0 0 0 0 | |||
sLsLsLs 6 0 0 1 0 1 0 1 0 | |||
---------- --- ----- ----- ----- ----- ----- ----- ----- ----- | |||
Instructions for how to read the output: | |||
* A scale's modes are rotations of a scale, represented as a string. These are sorted in two different ways: modal brightness and cyclic permutational order. | |||
* A scale's intervals are a substring of a mode's scalestring. Since the order of steps doesn't matter in an interval, the sum of steps is shown in the table instead. | |||
* Scale degrees are generally described with terms such as major, minor, augmented, diminished, and perfect. Here, they're enumerated in decreasing order based on size, where larger enumerations denote larger intervals (and therefore larger scale degrees). Perfect intervals, such as the unison and octave, always appear as one size each, and so their scale degrees are always perfect. The other scale degrees that are described as perfect come from the generating intervals (such as the perfect 5th and perfect 4th); these usually apply for moment-of-symmetry scales. A perfect 5th is described as perfect because it appears as that size in all but one mode (the locrian mode, where it's a diminished 5th instead), and a perfect 4th is described as perfect because it appears as that size in all but one mode (then lydian mode, where it's an augmented 4th instead). | |||
* Intervals and scale degrees are enumerated starting at 0 rather than 1. | |||
=== Update (Nov 2022) === | |||
There is now an option to output a mos table as one consolidated table using the MosModecalcOnetable() function. Note that MosModecalc() can output this as two separate tables (one for mossteps and one for mosdegrees). Example output below (may be too wide on some screens).<syntaxhighlight> | |||
Mode UDP Mode name Rotational order smiunison (0-smidegree) 1-smistep (1-smidegree) 2-smistep (2-smidegree) 3-smistep (3-smidegree) 4-smistep (4-smidegree) 5-smistep (5-smidegree) 6-smistep (6-smidegree) smioctave (7-smidegree) | |||
------- ----- ----------- ------------------ ------------------------- ------------------------- ------------------------- ------------------------- ------------------------- ------------------------- ------------------------- ------------------------- | |||
LLsLsLs 6|0 Mode 1 0 0 (perfect) L (major) 2L (augmented) 2L+s (major) 3L+s (major) 3L+2s (perfect) 4L+2s (major) 4L+3s (perfect) | |||
LsLLsLs 5|1 Mode 2 5 0 (perfect) L (major) L+s (perfect) 2L+s (major) 3L+s (major) 3L+2s (perfect) 4L+2s (major) 4L+3s (perfect) | |||
LsLsLLs 4|2 Mode 3 3 0 (perfect) L (major) L+s (perfect) 2L+s (major) 2L+2s (minor) 3L+2s (perfect) 4L+2s (major) 4L+3s (perfect) | |||
LsLsLsL 3|3 Mode 4 1 0 (perfect) L (major) L+s (perfect) 2L+s (major) 2L+2s (minor) 3L+2s (perfect) 3L+3s (minor) 4L+3s (perfect) | |||
sLLsLsL 2|4 Mode 5 6 0 (perfect) s (minor) L+s (perfect) 2L+s (major) 2L+2s (minor) 3L+2s (perfect) 3L+3s (minor) 4L+3s (perfect) | |||
sLsLLsL 1|5 Mode 6 4 0 (perfect) s (minor) L+s (perfect) L+2s (minor) 2L+2s (minor) 3L+2s (perfect) 3L+3s (minor) 4L+3s (perfect) | |||
sLsLsLL 0|6 Mode 7 2 0 (perfect) s (minor) L+s (perfect) L+2s (minor) 2L+2s (minor) 2L+3s (diminished) 3L+3s (minor) 4L+3s (perfect) | |||
</syntaxhighlight>The same output can be formatted as a wikitable. Other table features (such as sorting) may require additional edits. | |||
{| class="wikitable sortable" style="text-align: left;" | |||
|+Modes of 4L 3s (smitonic) | |||
|- | |||
! Mode !! UDP !! Mode name !! align="right"| Rotational order !! smiunison (0-smidegree) !! 1-smistep (1-smidegree) !! 2-smistep (2-smidegree) !! 3-smistep (3-smidegree) !! 4-smistep (4-smidegree) !! 5-smistep (5-smidegree) !! 6-smistep (6-smidegree) !! smioctave (7-smidegree) | |||
|- | |||
| LLsLsLs || 6<nowiki>|</nowiki>0 || nerevarine || align="right"| 0 || 0 (perfect) || L (major) || 2L (augmented) || 2L+s (major) || 3L+s (major) || 3L+2s (perfect) || 4L+2s (major) || 4L+3s (perfect) | |||
|- | |||
| LsLLsLs || 5<nowiki>|</nowiki>1 || vivecan || align="right"| 5 || 0 (perfect) || L (major) || L+s (perfect) || 2L+s (major) || 3L+s (major) || 3L+2s (perfect) || 4L+2s (major) || 4L+3s (perfect) | |||
|- | |||
| LsLsLLs || 4<nowiki>|</nowiki>2 || lorkhanic || align="right"| 3 || 0 (perfect) || L (major) || L+s (perfect) || 2L+s (major) || 2L+2s (minor) || 3L+2s (perfect) || 4L+2s (major) || 4L+3s (perfect) | |||
|- | |||
| LsLsLsL || 3<nowiki>|</nowiki>3 || sothic || align="right"| 1 || 0 (perfect) || L (major) || L+s (perfect) || 2L+s (major) || 2L+2s (minor) || 3L+2s (perfect) || 3L+3s (minor) || 4L+3s (perfect) | |||
|- | |||
| sLLsLsL || 2<nowiki>|</nowiki>4 || kagrenacan || align="right"| 6 || 0 (perfect) || s (minor) || L+s (perfect) || 2L+s (major) || 2L+2s (minor) || 3L+2s (perfect) || 3L+3s (minor) || 4L+3s (perfect) | |||
|- | |||
| sLsLLsL || 1<nowiki>|</nowiki>5 || almalexian || align="right"| 4 || 0 (perfect) || s (minor) || L+s (perfect) || L+2s (minor) || 2L+2s (minor) || 3L+2s (perfect) || 3L+3s (minor) || 4L+3s (perfect) | |||
|- | |||
| sLsLsLL || 0<nowiki>|</nowiki>6 || dagothic || align="right"| 2 || 0 (perfect) || s (minor) || L+s (perfect) || L+2s (minor) || 2L+2s (minor) || 2L+3s (diminished) || 3L+3s (minor) || 4L+3s (perfect) | |||
|} | |||
== JIRAF (C++) == | |||
JI ratio finder, possibly reverse-engineered from other already-existing algorithms. | |||
Source code: https://gist.github.com/GanaramInukshuk/b010ff8c29cd03c13b84f1b504efce62<syntaxhighlight line="1"> | |||
Approximated ratios for 1\16 (75c): | |||
19/18 = 93.6031 | |||
20/19 = 88.8008 | |||
Approximated ratios for 2\16 (150c): | |||
11/10 = 165.004 | |||
12/11 = 150.637 | |||
13/12 = 138.573 | |||
Approximated ratios for 3\16 (225c): | |||
8/7 = 231.174 | |||
17/15 = 216.687 | |||
Approximated ratios for 4\16 (300c): | |||
6/5 = 315.641 | |||
13/11 = 289.21 | |||
19/16 = 297.513 | |||
20/17 = 281.358 | |||
Approximated ratios for 5\16 (375c): | |||
5/4 = 386.314 | |||
16/13 = 359.472 | |||
Approximated ratios for 6\16 (450c): | |||
9/7 = 435.084 | |||
13/10 = 454.214 | |||
17/13 = 464.428 | |||
Approximated ratios for 7\16 (525c): | |||
15/11 = 536.951 | |||
19/14 = 528.687 | |||
Approximated ratios for 8\16 (600c): | |||
7/5 = 582.512 | |||
10/7 = 617.488 | |||
17/12 = 603 | |||
Approximated ratios for 9\16 (675c): | |||
19/13 = 656.985 | |||
Approximated ratios for 10\16 (750c): | |||
14/9 = 764.916 | |||
17/11 = 753.637 | |||
20/13 = 745.786 | |||
Approximated ratios for 11\16 (825c): | |||
8/5 = 813.686 | |||
13/8 = 840.528 | |||
Approximated ratios for 12\16 (900c): | |||
5/3 = 884.359 | |||
17/10 = 918.642 | |||
Approximated ratios for 13\16 (975c): | |||
7/4 = 968.826 | |||
Approximated ratios for 14\16 (1050c): | |||
11/6 = 1049.36 | |||
20/11 = 1035 | |||
Approximated ratios for 15\16 (1125c): | |||
19/10 = 1111.2 | |||
End of program reached. | |||
</syntaxhighlight> | |||