a:2:{s:7:"current";a:9:{s:4:"date";a:2:{s:7:"created";i:1672924258;s:8:"modified";i:1672926973;}s:7:"creator";s:12:"Wesley Hicks";s:4:"user";s:4:"mete";s:11:"last_change";a:8:{s:4:"date";i:1672926973;s:2:"ip";s:14:"104.174.211.50";s:4:"type";s:1:"E";s:2:"id";s:16:"undertone_series";s:4:"user";s:4:"mete";s:3:"sum";s:38:"[Methods to play an undertone series] ";s:5:"extra";s:0:"";s:10:"sizechange";i:225;}s:11:"contributor";a:1:{s:4:"mete";s:12:"Wesley Hicks";}s:5:"title";s:35:"Methods to play an undertone series";s:11:"description";a:2:{s:15:"tableofcontents";a:9:{i:0;a:4:{s:3:"hid";s:35:"methods_to_play_an_undertone_series";s:5:"title";s:35:"Methods to play an undertone series";s:4:"type";s:2:"ul";s:5:"level";i:3;}i:1;a:4:{s:3:"hid";s:69:"acute_bowed_force_as_to_interrupt_the_natural_vibration_of_a_material";s:5:"title";s:70:"Acute bowed force, as to interrupt the natural vibration of a material";s:4:"type";s:2:"ul";s:5:"level";i:4;}i:2;a:4:{s:3:"hid";s:10:"on_strings";s:5:"title";s:10:"On strings";s:4:"type";s:2:"ul";s:5:"level";i:5;}i:3;a:4:{s:3:"hid";s:10:"on_lamells";s:5:"title";s:10:"on Lamells";s:4:"type";s:2:"ul";s:5:"level";i:5;}i:4;a:4:{s:3:"hid";s:28:"forced_vibration_instruments";s:5:"title";s:28:"Forced vibration instruments";s:4:"type";s:2:"ul";s:5:"level";i:4;}i:5;a:4:{s:3:"hid";s:32:"reduction_of_air_on_invert_reeds";s:5:"title";s:32:"Reduction of air on invert reeds";s:4:"type";s:2:"ul";s:5:"level";i:4;}i:6;a:4:{s:3:"hid";s:37:"selective_venting_of_wind_instruments";s:5:"title";s:37:"Selective venting of wind instruments";s:4:"type";s:2:"ul";s:5:"level";i:4;}i:7;a:4:{s:3:"hid";s:19:"extension_of_length";s:5:"title";s:19:"Extension of length";s:4:"type";s:2:"ul";s:5:"level";i:4;}i:8;a:4:{s:3:"hid";s:5:"notes";s:5:"title";s:5:"Notes";s:4:"type";s:2:"ul";s:5:"level";i:4;}}s:8:"abstract";s:446:"The Undertone series, also commonly called the subharmonic series is a series of pitches with mathematical relationships to one another that are a naturally occurring sequence the can be represented by divisions or multiplications of equal measured parts. The series is an inversion of the overtone series, which can be described through equal divisions of string length, the undertone series can be described by equal additions of string length.";}s:8:"relation";a:2:{s:10:"references";a:2:{s:10:"regulation";b:0;s:12:"harry_partch";b:1;}s:10:"firstimage";s:75:"https://rolfbader.de/wp-content/uploads/2019/04/Terpodion_02_gr-300x225.jpg";}s:8:"internal";a:2:{s:5:"cache";b:1;s:3:"toc";b:1;}}s:10:"persistent";a:5:{s:4:"date";a:2:{s:7:"created";i:1672924258;s:8:"modified";i:1672926973;}s:7:"creator";s:12:"Wesley Hicks";s:4:"user";s:4:"mete";s:11:"last_change";a:8:{s:4:"date";i:1672926973;s:2:"ip";s:14:"104.174.211.50";s:4:"type";s:1:"E";s:2:"id";s:16:"undertone_series";s:4:"user";s:4:"mete";s:3:"sum";s:38:"[Methods to play an undertone series] ";s:5:"extra";s:0:"";s:10:"sizechange";i:225;}s:11:"contributor";a:1:{s:4:"mete";s:12:"Wesley Hicks";}}}