THE WILSON ARCHIVES

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SOME BASIC PAPERS, MICROTONAL SCALES AND INSTRUMENT DESIGNS

The Harmonic and Subharmonic Series (and dual combinations) Moments of Symmetry - Diatonic Extensions and the Scales of India - Papers on various Equal Divisions- Constant Structures and larger Just Intonation scales

Comments and Questions Welcome


Comments on The Basic Papers Section

THE HARMONIC AND SUBHARMONIC SERIES (and dual combinations)

Some Comments on the Harmonic and Subharmonic Series

GRAPHS ON THE HARMONIC AND SUBHARMONIC SERIES

12 KEYS ARE NOT ENOUGH

A LOOK AT THE ALPHORN





Some Comments on the Flute Scales and Notes,
the Diaphonic Cycles, and The Helixsongs

THE FLUTE SCALES AND NOTES updated 12/2/20

THE HELIXSONG, EVANGELINA
and A THEORETICAL BAGPIPE TUNING

THE DIAPHONIC CYCLES   

More


MOMENTS OF SYMMETRY


An Introduction to the Moments of Symmetry

Letter to Chalmers pertaining to
MOMENTS OF SYMMETRY/TANABE CYCLE

The 3-GAP THEOREM
(Steinhaus conjecture) Revisited

MOS scales
found in the scale tree between 0/1 and 1/2


DIATONIC EXTENSIONS AND THE SCALES OF INDIA

THE SEPTENDENE
as derived by relative rotations of a tetrachord
/Letter to Darreg on 17 in 612ET

SOME BASIC PATTERNS UNDERLYING
GENUS 12 & 17/ MALLET AND KEYBOARD LAYOUTS

Some Comments on Genus 12 & 17

VARIOUS RAGA SCALES UPON HANSON LATTICE

SELECTED LETTERS AND PAPERS ON THE THE 22-TONE SHRUTI SYSTEM OF INDIA

Some comments on the 22-tone Shruti System

KHIASMOS IN THE
22 TONE SCALE OF INDIA

A TURKISH 24-TONE SUBSET
OF THE 53ET SYSTEM


PAPERS ON VARIOUS EQUAL DIVISIONS

Some Comments on Equal Divisions

AN EARLY LETTER
TO CHALMERS AND DARREG

The MOMENTS OF SYMMETRY OF EQUAL DIVISIONS 5 THRU 28, PLUS 31 AND OTHERS

PAPERS ON THE 31 TONE SCALE

PAPERS ON THE 13 TONE SCALE

LETTER TO BRIAN McLAREN (15ET)

MELODIC HEXANIES IN 19-TONE

EARLY PAGES ON 22 ET

VARIOUS PAPERS ON NON-OCTAVE SCALES


CONSTANT STRUCTURES AND LARGER JUST INTONATION SCALES

Some comments on Constant Structures

EARLY LATTICES OF SOME 12 TONE
CONSTANT STRUCTURES

EARLY LATTICES OF SOME 22 TONE
CONSTANT STRUCTURES

VARIOUS JUST 22-TONE SCALES

VIGGO BRUN'S ALGORITHM APPLIED TO MOS SCALE STEPS

An excerpt from Mandelbaums thesis on Viggo Brun's Algorithm

OG VIGGO BRUN'S EUCLIDEAN ALGORITHM

SOME CONSTANT STRUCTURES PREDICTED
BY VIGGO BRUN'S ALGORITHM

CONSIDER OLYMPOS

(a preliminary draft of the Marwa Permutations)

THE MARWA PERMUTATIONS

From Xenharmonikon 9

THE RAST/MAYYATI MATRIX

THE PURVI MODULATIONS

From Xenharmonikon 10

5-CAP, COMMA/SKISMA SIEVE plus
11-CAP SIEVE AND SOME RELATED PAPERS

A 36 TONE FIBONACCI TUNING (2 mappings) plus LAMBDOMA of a FIBONACCI SEQUENCE

26-TONE CHAINS OF SEVENS

GEORDAN MITCHELL'S FRACTALTONE SCALE INTERPRETED


~Comments and Questions Welcome~

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