DocumentCode :
1487586
Title :
The Lambdoma matrix and harmonic intervals
Author :
Hero, Barbara ; Foulkrod, Robert Miller
Author_Institution :
Int. Lambdoma Res. Inst., Wells, ME, USA
Volume :
18
Issue :
2
fYear :
1999
Firstpage :
61
Lastpage :
73
Abstract :
We are trying to reconstruct some of the laws of music by exploring the nature of the Lambdoma diagram of harmonic whole-number ratios. We hypothesize that the effects of this music, because of its well-defined mathematical construct, are that of emotional and physical harmony (cenesthesia). We strongly suspect that it is the continuously sounding fundamental pitch, chosen by the player, that is one of the most important ingredients as to the physiological and psychological effects of true harmonic music. When colors, shapes, angles, and sounds are all synthesized into one experience, the encoding of seemingly disparate numerical concepts from interdisciplinary fields into a musical vocabulary of ratios and related specific frequencies might lead to greater insights. These insights will illuminate each field, as well as enhance the significance of music itself in the human experience. We may conclude that harmonic music is mathematics, and that harmonic mathematics is music, and that pure harmonic intervals combined with a well chosen, all-pervading fundamental frequency affect our physical, emotional, and mental states. We believe that the key to the effects of these harmonics upon human adaptation is based upon the whole-number-ratio interval structure of the Lambdoma combined with the fundamental drone, as well as the ability of the individual to select any audible frequency.
Keywords :
electronic music; harmonics; hearing; music; musical acoustics; musical instruments; patient rehabilitation; psychology; Lambdoma diagram; Lambdoma harmonic keyboard; Lambdoma matrix; Lissajous figures; cenesthesia; continuously sounding fundamental pitch; emotional harmony; encoding; fractals; fundamental drone; harmonic intervals; harmonic whole-number ratios; human adaptation; laws of music; mathematical construct; musical vocabulary of ratios; physical harmony; physiological effects; psychological effects; rehabilitation; subharmonic; true harmonic music; undertone series; whole-number-ratio interval structure; Acoustic testing; Acoustical engineering; Biomedical engineering; Biomedical imaging; Decoding; History; Humans; Mathematics; Music; Psychology; Adaptation, Physiological; Adaptation, Psychological; Attitude; Computer Systems; Emotions; Female; Fractals; History, 19th Century; History, 20th Century; History, Ancient; Humans; Male; Mathematics; Music; Nutrition Physiology; Psychoacoustics; Software; Vibration;
fLanguage :
English
Journal_Title :
Engineering in Medicine and Biology Magazine, IEEE
Publisher :
ieee
ISSN :
0739-5175
Type :
jour
DOI :
10.1109/51.752977
Filename :
752977
Link To Document :
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