Giter Club home page Giter Club logo

maqamat's Introduction

maqamat

53 Equally Tempered Intervals - 53TET, 53EDO, or 53ET

This is why the 53ET is wonderful. Look at row 31 and notice how close it is to 3/2!

#      cents      f (Hz)      f/f1    ratio  fl(ratio)      abs err  rel err (%)
--------------------------------------------------------------------------------
 0     0.000  220.000000  1.000000        1   1.000000   0.00000000   0.00000000
 1    22.642  222.896111  1.013164    77/76   1.013158   0.00000625   0.00061671
 2    45.283  225.830348  1.026502  155/151   1.026490   0.00001151   0.00112172
 3    67.925  228.803211  1.040015    26/25   1.040000   0.00001459   0.00140328
 4    90.566  231.815209  1.053705  157/149   1.053691   0.00001422   0.00134953
 5   113.208  234.866858  1.067577    79/74   1.067568   0.00000906   0.00084842
 6   135.849  237.958678  1.081630    53/49   1.081633  -0.00000230  -0.00021233
 7   158.491  241.091200  1.095869    80/73   1.095890  -0.00002132  -0.00194529
 8   181.132  244.264960  1.110295  151/136   1.110294   0.00000115   0.00010384
 9   203.774  247.480498  1.124911      9/8   1.125000  -0.00008864  -0.00788006
10   226.415  250.738367  1.139720  155/136   1.139706   0.00001397   0.00122556
11   249.057  254.039123  1.154723  209/181   1.154696   0.00002715   0.00235146
12   271.698  257.383330  1.169924  179/153   1.169935  -0.00001041  -0.00089002
13   294.340  260.771561  1.185325  243/205   1.185366  -0.00004058  -0.00342318
14   316.981  264.204395  1.200929  251/209   1.200957  -0.00002787  -0.00232058
15   339.623  267.682420  1.216738  247/203   1.216749  -0.00001050  -0.00086273
16   362.264  271.206229  1.232756  143/116   1.232759  -0.00000303  -0.00024601
17   384.906  274.776427  1.248984  261/209   1.248804   0.00017993   0.01440620
18   407.547  278.393623  1.265426  205/162   1.265432  -0.00000654  -0.00051675
19   430.189  282.058437  1.282084    50/39   1.282051   0.00003252   0.00253655
20   452.830  285.771494  1.298961   126/97   1.298969  -0.00000773  -0.00059547
21   475.472  289.533431  1.316061  254/193   1.316062  -0.00000113  -0.00008556
22   498.113  293.344891  1.333386      4/3   1.333333   0.00005253   0.00393979
23   520.755  297.206525  1.350939  281/208   1.350962  -0.00002279  -0.00168699
24   543.396  301.118994  1.368723  245/179   1.368715   0.00000762   0.00055638
25   566.038  305.082967  1.386741  251/181   1.386740   0.00000043   0.00003094
26   588.679  309.099123  1.404996  281/200   1.405000  -0.00000399  -0.00028369
27   611.321  313.168148  1.423492  279/196   1.423469   0.00002219   0.00155919
28   633.962  317.290738  1.442231  287/199   1.442211   0.00001957   0.00135722
29   656.604  321.467599  1.461216  301/206   1.461165   0.00005131   0.00351154
30   679.245  325.699445  1.480452  265/179   1.480447   0.00000509   0.00034405
31   701.887  329.986999  1.499941      3/2   1.500000  -0.00005910  -0.00393995
32   724.528  334.330995  1.519686  193/127   1.519685   0.00000130   0.00008556
33   747.170  338.732176  1.539692    97/63   1.539683   0.00000917   0.00059546
34   769.811  343.191295  1.559960    39/25   1.560000  -0.00003957  -0.00253661
35   792.453  347.709114  1.580496  324/205   1.580488   0.00000817   0.00051675
36   815.094  352.286406  1.601302  245/153   1.601307  -0.00000534  -0.00033363
37   837.736  356.923955  1.622382  232/143   1.622378   0.00000399   0.00024601
38   860.377  361.622553  1.643739  263/160   1.643750  -0.00001112  -0.00067668
39   883.019  366.383004  1.665377  353/212   1.665094   0.00028295   0.01699022
40   905.660  371.206122  1.687301  356/211   1.687204   0.00009676   0.00573486
41   928.302  376.092733  1.709512  359/210   1.709524  -0.00001139  -0.00066615
42   950.943  381.043671  1.732017  265/153   1.732026  -0.00000946  -0.00054596
43   973.585  386.059785  1.754817  365/208   1.754808   0.00000951   0.00054198
44   996.226  391.141931  1.777918     16/9   1.777778   0.00014009   0.00787943
45  1018.868  396.290979  1.801323  272/151   1.801325  -0.00000187  -0.00010384
46  1041.509  401.507810  1.825036    73/40   1.825000   0.00003550   0.00194525
47  1064.151  406.793317  1.849061    98/53   1.849057   0.00000393   0.00021233
48  1086.792  412.148402  1.873402   148/79   1.873418  -0.00001589  -0.00084842
49  1109.434  417.573982  1.898064  391/206   1.898058   0.00000530   0.00027946
50  1132.075  423.070986  1.923050    25/13   1.923077  -0.00002699  -0.00140330
51  1154.717  428.640353  1.948365  302/155   1.948387  -0.00002186  -0.00112173
52  1177.358  434.283036  1.974014   152/77   1.974026  -0.00001217  -0.00061671
53  1200.000  440.000000  2.000000        2   2.000000   0.00000000   0.00000000

ref: https://en.wikipedia.org/wiki/53_equal_temperament

maqamat's People

Contributors

haisamido avatar

Watchers

 avatar

Recommend Projects

  • React photo React

    A declarative, efficient, and flexible JavaScript library for building user interfaces.

  • Vue.js photo Vue.js

    ๐Ÿ–– Vue.js is a progressive, incrementally-adoptable JavaScript framework for building UI on the web.

  • Typescript photo Typescript

    TypeScript is a superset of JavaScript that compiles to clean JavaScript output.

  • TensorFlow photo TensorFlow

    An Open Source Machine Learning Framework for Everyone

  • Django photo Django

    The Web framework for perfectionists with deadlines.

  • D3 photo D3

    Bring data to life with SVG, Canvas and HTML. ๐Ÿ“Š๐Ÿ“ˆ๐ŸŽ‰

Recommend Topics

  • javascript

    JavaScript (JS) is a lightweight interpreted programming language with first-class functions.

  • web

    Some thing interesting about web. New door for the world.

  • server

    A server is a program made to process requests and deliver data to clients.

  • Machine learning

    Machine learning is a way of modeling and interpreting data that allows a piece of software to respond intelligently.

  • Game

    Some thing interesting about game, make everyone happy.

Recommend Org

  • Facebook photo Facebook

    We are working to build community through open source technology. NB: members must have two-factor auth.

  • Microsoft photo Microsoft

    Open source projects and samples from Microsoft.

  • Google photo Google

    Google โค๏ธ Open Source for everyone.

  • D3 photo D3

    Data-Driven Documents codes.