Rhythmic Partitioning Calculator

Introduction

Rhythmic Partitioning Calculator is a tool to calculate simple rhythmic partitions data such as agglomeration and dispersion indexes, lexset, lexsum, and to enumerate partitions. (See further information about rhythmic partitioning of texture at Rhythmic partitioning assistant's documentation).

This tool is inspired on Partition (2024) and Parsemat (2020) softwares, both developed by Pauxy Gentil-Nunes.

by Pauxy Gentil-Nunes

To enumerate the partitions of a number n is to present the list of all its partitions.
Lexset is a set formed by the partitions from 1 to dn, where dn is the assumed density-number for a piece or compositional process.
Lexsum is the number of partitions of a lexset.

Gadi, A (https://math.stackexchange.com/users/1818/gadi-a), Calculating integer partitions, URL (version: 2018-03-03): https://math.stackexchange.com/q/2675464.
Gentil-Nunes, Pauxy. 2009a. "Análise Particional: uma Mediação entre Composição Musical e a Teoria das Partições." Ph.D. Dissertation, Universidade Federal do Estado do Rio de Janeiro. Available at http://www.repositorio-bc.unirio.br:8080/xmlui/handle/unirio/11465.
Gentil-Nunes, Pauxy. 2020. "PARSEMAT: Parseme Toolbox Software Package V. 0.8 Beta." Available at https://pauxy.net/parsemat-v-0-8-beta/. Accessed on Aug.06, 2022.
Gentil-Nunes, Pauxy. "Partitions v0.4". Available at https://github.com/Pauxygnunes/Partitions. Accessed on Apr. 12, 2024.
Moreira, Daniel. 2015. "Perspectivas para a análise Textural a partir da Mediação entre a Teoria Dds Contornos e a Análise Particional." Dissertação de mestrado, Universidade Federal do Rio de Janeiro.