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Topic: Dale Pond
Collected Articles Section: Nonequivalence of Music Intervals 2 of 2 Table of Contents to this Topic |
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Below is a "new" scale (subject to modification) that accounts for harmony in such a way that all notes are equivalent and proportional. Any note and its immediate harmonics will form harmony with all other notes and their immediate harmonics. No unresolved beats will occur - unresolved beats are a source of dissonance. A beat will resolve when it forms harmony with the notes around it. All beats generated with this scale are multiples of two as are all the notes as also immediate harmonics. So any beats will resolve (form harmony) between themselves and the surrounding notes. If we use conventional music intervals beats occur which are unresolveable which means they may have a base of 1, 2, 3, 5 or 7. These odd numbers do not form harmony or unison with anything other than themselves. Theoretically resolved beats will "disappear" to the ear as they merge with neighboring sounds. I don't know this for a practical thing but arithmetically and vibratorily this appears to be the case. The proof will come in the actually playing and hearing of it. PS: As far as I know my idea of resolved and unresolved beats is new and unique. I've not read of it in any music theory I've come across. Gee! Maybe I could patent this and charge a fee for it - or I could present it here so we can all get on with some serious and legitimate research of solving some problems out there and creating new possibilities! -- The Dale Scale -- Interval Note cps/120 Octave C""" 2048 Minor 8th Cb 1920 Major 7th B 1856 Minor 7th Bb 1792 Dim. 7th A# 1728 Major 6th A 1664 Minor 6th G# 1600 Major 5th G 1536 Minor 5th Gb 1472 Major 4th F# 1408 Minor 4th F 1344 Major 3rd E 1280 Minor 3rd D# 1216 Major 2nd D 1152 Minor 2nd C# 1088 Octave C""' 1024 Minor 8th Cb 960 Major 7th B 928 Minor 7th Bb 896 Dim. 7th A# 864 Major 6th A 832 Minor 6th G# 800 Major 5th G 768 Minor 5th Gb 736 Major 4th F# 704 Minor 4th F 672 Major 3rd E 640 Minor 3rd D# 608 Major 2nd D 576 Minor 2nd C# 544 Octave C"" 512 Minor 8th Cb 480 Major 7th B 464 Minor 7th Bb 448 Dim. 7th A# 432 Major 6th A 416 Minor 6th G# 400 Major 5th G 384 Minor 5th Gb 368 Major 4th F# 352 Minor 4th F 336 Major 3rd E 320 Minor 3rd D# 304 Major 2nd D 288 Minor 2nd C# 272 Octave C''' 256 Minor 8th Cb 240 Major 7th B 232 Minor 7th Bb 224 Dim. 7th A# 216 Major 6th A 208 Minor 6th G# 200 Major 5th G 192 Minor 5th Gb 184 Major 4th F# 176 Minor 4th F 168 Major 3rd E 160 Minor 3rd D# 152 Major 2nd D 144 Minor 2nd C# 136 Octave C'' 128 Minor 8th Cb 120 Major 7th B 116 Minor 7th Bb 112 Dim. 7th A# 108 Major 6th A 104 Minor 6th G# 100 Major 5th G 96 Minor 5th Gb 92 Major 4th F# 88 Minor 4th F 84 Major 3rd E 80 Minor 3rd D# 76 Major 2nd D 72 Minor 2nd C# 68 Octave C' 64 Minor 8th Cb 60 Major 7th B 58 Minor 7th Bb 56 Dim. 7th A# 54 Major 6th A 52 Minor 6th G# 50 Major 5th G 48 Minor 5th Gb 46 Major 4th F# 44 Minor 4th F 42 Major 3rd E 40 Minor 3rd D# 38 Major 2nd D 36 Minor 2nd C# 34 Unison C 32 |
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