Period tripling in multiscale physical and biological events

A. T. Bondar, M. V. Fedorov, V. A. Kolombet

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


The recent paper by S.J. Puetz et al. (Chaos, Solitons and Fractals, v. 62–63, p. 55, 2014) describes a fundamental period-tripled model. It involves the periods of different astronomical (quasars, stars, and the Sun), geophysical (geomagnetic, climatic, and volcanic), and some biological processes. This work contains the statistics for sixteen pairs of periods in a period-tripled sequence. These periods range from ~50 years to 1.5 billion years and no signs of timescale limitations are found. We believe that the universal scope of the fundamental period-tripled model can be used for the development of a new methodology of research data analysis: the fundamental concept is that the spectrum of the periods of any event that is under study should be tested for similarity with the spectrum of the fundamental period-tripling pattern (because of the fundamental nature of the period-tripled model). Using this method, in this study we have complemented the already described period-tripled model with the periods of human memory performance ranging from 1 minute to 1 month, also adding seven relevant periods/frequencies of the period-tripled model in the range of human hearing. We arrived at the conclusion that these characteristic frequencies may form a basis of music and singing phenomena. The new methodology is particularly appropriate for application in medicine and engineering.

Original languageEnglish
Pages (from-to)1208-1215
Number of pages7
JournalBiophysics (Russian Federation)
Issue number6
Publication statusPublished - 1 Nov 2015
Externally publishedYes


  • hearing
  • memory
  • multiscaling
  • music
  • period-tripling
  • singing
  • tuning of musical instruments


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