[Period-tripling in Multiscale Physical and Biological Events]

Area of Science:

• Interdisciplinary science
• Complex systems analysis
• Data science

Background:

• A fundamental period-tripling model was previously described, encompassing astronomical, geophysical, and biological processes across vast timescales.
• This model identified sixteen pairs of period-tripled sequences, showing no limitations in timescale applicability.

Purpose of the Study:

• To develop a new methodology for research data analysis based on the universal scope of the period-tripling model.
• To test the similarity between the spectrum of periods of a studied event and the fundamental period-tripling pattern.
• To extend the period-tripling model by incorporating periods related to human memory and auditory perception.

Main Methods:

• Statistical analysis of period-tripled sequences.
• Comparative analysis of spectral periods.
• Integration of human memory performance data (1 minute to 1 month) and human hearing frequencies into the model.

Main Results:

• The fundamental period-tripling model was successfully extended to include periods relevant to human memory and hearing.
• Seven new periods/frequencies within the human hearing range were identified as relevant to the period-tripling model.
• The study suggests these characteristic frequencies may underpin music and singing phenomena.

Conclusions:

• The proposed methodology, based on the fundamental period-tripling model, provides a universal framework for data analysis.
• The inclusion of human-specific temporal ranges (memory and hearing) broadens the model's applicability.
• The new methodology shows particular promise for applications in medicine and engineering, potentially leading to novel diagnostic or therapeutic tools.