• 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