Purdal

De Wiki Purdal
(Redirigido desde «Home»)
Saltar a: navegación, buscar

Purdal is a unit of measure for musical intervals, suggested by Osmiorisbendi, which is the Ditave (2/1, the 'Octave') divided into 9900 equal parts. The Purdals are shown as a reliable and very consistent to idealize any musical system, whether just or temperate.

The purpose that it have is for the need of precise with better quality in its presentation, those 'EDDs' who have a quantity equal to a prime number of intervals and systems until 990 steps per Ditave, only requiring 2 decimals for a basic precision. The 12-EDD contains 825 Purdals in each semitone; Each Purdal is equivalent to 4/33 of a Cent (0.12 Cents), and 1 Cent is 8.25 Purdals.

The ditaved Purdal is divisible by: 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300 & 4950 exact parts.

Purdal Primus Prodotti.png

The table below show us uniquely the translation of the Purdal values without decimals, to the simple Cent equivalence,in some harmonic ratios for comparisson:

Purdal symbol 0.png
The Purdal symbol
Harmonic (until the 63º) Purdal entire value Cent equivalence
2/1 9900 1200
3/2 5791 701.93
5/4 3187 386.30
7/4 7993 968.84
9/8 1682 203.87
11/8 4548 551.27
13/8 6934 840.48
15/8 8978 1088.24
17/16 866 104.96
19/16 2454 297.45
21/16 3884 470.78
23/16 5183 628.24
25/16 6374 772.60
27/16 7473 905.81
29/16 8494 1029.57
31/16 9447 1145.09
33/32 440 53.3
35/32 1280 155.15
37/32 2074 251.39
39/32 2825 342.42
41/32 3540 429.09
43/32 4220 511.51
45/32 4869 590.18
47/32 5490 665.45
49/32 6086 737.69
51/32 6657 806.90
53/32 7206 873.45
55/32 7735 937.57
57/32 8246 999.51
59/32 8738 1059.15
61/32 9214 1116.84
63/32 9675 1172.72

If you want real values between Purdal sizes and Cents sizes with any ratios, check them with this Purdal calculator.!!'!!!'!!!!'!!!'!!!!'!!!'!!!!'!!!'!!!!'!!!'!!!!'!!!'!!!!'!!!'!!!!'!!!'!!!!'!!!'!!