UNDER CONSTRUCTION

PAPERS of PRAVEEN VENKATARAMANA

Praveen is working in exploring on the tritave equivalent versions of Wilsonian ideas (cps, cs, marwa purvi, helixsongs etc.).



HIDDEN MURCHANAS IN THE PARTCH MONOPHONIC FABRIC

These lambdomas are the result of an exhaustive computer search of any lambdoma that covers Partch's scale or a subset thereof. The last 7-tone one listed is the 1 3 5 7 9 11 4/3 he found that covers 37 tones of the diamond. This being the largest murchana possible contained within Partch's monophonic fabric."


SOME HIDDEN MURCHANA MATRICES IN ARABIC AND GREEK GENERA


MARWA-PURVI AND HIDDEN MURCHANA MATRICES OF SOME ATYPICAL GENERA


A COUNT OF CONSTANT STRUCTURES

with 4 distinct superparticular 7 limit steps with sizes between 5/4 and 126/125 (inclusive), that generate the intervals 2/1, 3/2, 5/4 and 7/4. From Xenharmonikon


'META' RELATIONSHIPS

Hexany used to generate diamond


pentadekanyhexany


pentadekany of hexany


eikosanyhexany


euler genus derived

stellate hexanies embedding diamond


CENTAUR EXTENSIONS

centaur 15 tone extension


sataur scale


sataur 18 tone subset



SOME TRITAVE STRUCTURES

The tritave equivalent 1 2 4 7 10 11 Eikosany

1/1 55/54 77/72 10/9 7/6 385/324 11/9 35/27 77/54 55/36 5/3 7/4 11/6 35/18 55/27 77/36 7/3 5/2 11/4 35/12 3/1

Is like 1/1 7/6 3/2 7/4 9/4 21/8 3/1


The tritave equivalent of the factors are 1 2 4 5 7 8 10 11 Hebdomekontany

1/1 55/54 28/27 77/72 88/81 10/9 154/135 7/6 385/324 11/9 56/45 77/60 35/27 4/3 110/81 7/5 77/54 22/15 40/27 55/36 14/9 8/5 44/27 5/3 77/45 7/4 16/9 11/6 28/15 154/81 35/18 88/45 2/1 55/27 56/27 77/36 11/5 20/9 308/135 7/3 22/9 5/2 77/30 70/27 8/3 11/4 14/5 77/27 35/12 44/15 3/1






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