V

A New Piano


Here are some sound files for my Nine Note Binary Musical Scale that can be played. Haven't read the essay on Music and this new scale yet? Go here!

NOTE: SINCE WRITING ALL THIS AND PUBLISHING IT IN MY BOOK, I HAVE DONE SOME RETHINKING AND REWORKING OF THE FREQUENCIES. THESE NOTES ARE NEW. THEY ARE ROUNDED OFF FROM EQUAL TEMPERMENT - STILL CLOSE TO WHAT WAS PREVIOUSLY PUBLISHED, BUT WITH FRACTIONS THAT RESOLVE TO .5, .25, .125, .0625 ETC. SO THAT HARMONIES ARE MORE PRECISE.

Here are some suggestions for harmonies: Use the bottom portion of this chart:

No doubt many aficionados of music will reject these tones out of hand as being an abomination to all music - at least traditional Western musical notation. But for those who like to explore new and different things this scale of tones might actually be useful... if anyone were to ever create an instrument capable of playing them. I can't produce any such instruments, but for those curious to know just how reasonable or awful these tones are - by themselves or in comparison to traditional Western musical notation - here is a set of generic tones that I generated with a sound application. They won't sound as nice as any acoustically refined instrument, but they might at least give an idea of what this new scale sounds like.

I've created two pianos. On the left, each sound file is about one second long, in order to explore possible melodies. On the right, each sound file is about seven seconds long. This way several notes can be played at once for an extended time, in order to seek out harmonies.

Here are some suggestions for harmonies: Use the bottom portion of this chart:

... and try playing triads that land on those critical points of harmony - the 1/4 or 125% mark (counting 5 from the root note), the 1/2 or 150% mark (counting 4 more or 9 from the root), and the 3/4 or 175% mark (counting 4 more or 13 from the root note). Then, try some others. Try using my note 1 with the 4 and 6, (or, move 6 notes from the root and then 4 more or 10 notes from the root note) which I guess could be considered an augmented chord? Maybe? I dunno. Then try what I guess might be considered diminished by using my 1 with the 3 and 5 (or, move 4 notes from the root and then 4 more or 8 from the root note). If you want to hear a scale that sounds closer to tradition start anywhere, skip two notes, then hit every other note until you've hit eight, then move one note to the end.

For those wanting to know what note each of these notes is close to in traditional music, the right hand column of each table has indicators that are rough approximations.

 

 

Melodies Harmonies
......v ......v
97 = 1
3136.0
  G
96 = --   3003.0
  f/g
95 = 8   2876.0
  New
94 = --   2754.0
  F
93 = 7   2637.0
  E
92 = --   2525.0
  d/e
91 = 6   2418.0
  New
90 = --   2316.0
  D
89 = 5   2217.0
  c/d
88 = --   2124.0
  C
87 = 4   2033.0
  New
86 = --   1947.0
  B
85 = 3   1865.0
  a/b
84 = --   1786.0
  A
83 = 2   1710.0
  New
82 = --   1637.0
  g/a
81 = 1  
  G
80 = --  
  f/g
79 = 8  
  New
78 = --  
  F
77 = 7  
  E
76 = --  
  d/e
75 = 6  
  New
74 = --  
  D
73 = 5  
  c/d
72 = --  
  C
71 = 4  
  New
70 = --  
  B
69 = 3  
  a/b
68 = --  
  A
67 = 2  
  New
66 = --  
  g/a
65 = 1  
  G
64 = --  
  f/g
63 = 8  
  New
62 = --  
  F
61 = 7  
  E
60 = --  
  d/e
59 = 6  
  New
58 = --  
  D
57 = 5  
  c/d
56 = --  
  C
55 = 4  
  New
54 = --  
  B
53 = 3  
  a/b
52 = --  
  A
51 = 2  
  New
50 = --  
  g/a
49 = 1  
  G
48 = --  
  f/g
47 = 8  
  New
46 = --  
  F
45 = 7  
  E
44 = --  
  d/e
43 = 6  
  New
42 = --  
  D
41 = 5  
  c/d
40 = --  
  C
39 = 4  
  New
38 = --  
  B
37 = 3  
  a/b
36 = --  
  A
35 = 2  
  New
34 = --  
  g/a
33 = 1  
  G
32 = --  
  f/g
31 = 8  
  New
30 = --  
  F
29 = 7  
  E
28 = --  
  d/e
27 = 6  
  New
26 = --  
  D
25 = 5  
  c/d
24 = --  
  C
23 = 4  
  New
22 = --  
  B
21 = 3  
  a/b
20 = --  
  A
19 = 2  
  New
18 = --  
  g/a
17 = 1  
  G
16 = --   93.84375
  f/g
15 = 8   89.875
  New
14 = --   86.0625
  F
13 = 7   82.40625
  E
12 = --   78.90625
  d/e
11 = 6   75.5625
  New
10 = --   72.375
  D
09 = 5   69.28125
  c/d
08 = --   66.375
  C
07 = 4   63.53125
  New
06 = --   60.84375
  B
05 = 3   58.2815
  a/b
04 = --   55.8125
  A
03 = 2   53.4375
  New
02 = --   51.15625
  g/a
01 = 1   49.00
  G
97 = 1
3136.0   G
96 = --   3003.0   f/g
95 = 8   2876.0   New
94 = --   2754.0   F
93 = 7   2637.0   E
92 = --   2525.0   d/e
91 = 6   2418.0   New
90 = --   2316.0   D
89 = 5   2217.0   c/d
88 = --   2124.0   C
87 = 4   2033.0   New
86 = --   1947.0   B
85 = 3   1865.0   a/b
84 = --   1786.0   A
83 = 2   1710.0   New
82 = --   1637.0   g/a
81 = 1     G
80 = --     f/g
79 = 8     New
78 = --     F
77 = 7     E
76 = --     d/e
75 = 6     New
74 = --     D
73 = 5     c/d
72 = --     C
71 = 4     New
70 = --     B
69 = 3     a/b
68 = --     A
67 = 2     New
66 = --     g/a
65 = 1     G
64 = --     f/g
63 = 8     New
62 = --     F
61 = 7     E
60 = --     d/e
59 = 6     New
58 = --     D
57 = 5     c/d
56 = --     C
55 = 4     New
54 = --     B
53 = 3     a/b
52 = --     A
51 = 2     New
50 = --     g/a
49 = 1     G
48 = --     f/g
47 = 8     New
46 = --     F
45 = 7     E
44 = --     d/e
43 = 6     New
42 = --     D
41 = 5     c/d
40 = --     C
39 = 4     New
38 = --     B
37 = 3     a/b
36 = --     A
35 = 2     New
34 = --     g/a
33 = 1     G
32 = --     f/g
31 = 8     New
30 = --     F
29 = 7     E
28 = --     d/e
27 = 6     New
26 = --     D
25 = 5     c/d
24 = --     C
23 = 4     New
22 = --     B
21 = 3     a/b
20 = --     A
19 = 2     New
18 = --     g/a
17 = 1     G
16 = --   93.84375   f/g
15 = 8   89.875   New
14 = --   86.0625   F
13 = 7   82.40625   E
12 = --   78.90625   d/e
11 = 6   75.5625   New
10 = --   72.375   D
09 = 5   69.28125   c/d
08 = --   66.375   C
07 = 4   63.53125   New
06 = --   60.84375   B
05 = 3   58.2815   a/b
04 = --   55.8125   A
03 = 2   53.4375   New
02 = --   51.15625   g/a
01 = 1   49.00   G