159edo: Difference between revisions
ArrowHead294 (talk | contribs) m Undo revision 166009 by ArrowHead294 (talk) Tag: Undo |
ArrowHead294 (talk | contribs) mNo edit summary |
||
| Line 12: | Line 12: | ||
=== History === | === History === | ||
Despite being none other than the tripled superset of the famous 53edo, and hence, one would think, fairly easy to find, it is a wonder that the first person to show theoretical interest in it was [[Ozan Yarman]]- specifically in terms of extracting a voluminous subset for representing maqams- in late 2005 to early 2006. | Despite being none other than the tripled superset of the famous 53edo, and hence, one would think, fairly easy to find, it is a wonder that the first person to show theoretical interest in it was [[Ozan Yarman]]- specifically in terms of extracting a voluminous subset for representing maqams- in late 2005 to early 2006. | ||
| Line 51: | Line 50: | ||
{| class="mw-collapsible mw-collapsed wikitable center-1" | {| class="mw-collapsible mw-collapsed wikitable center-1" | ||
|+ style=white-space:nowrap | Table of 159edo intervals | |+ style="font-size: 105%; white-space: nowrap;" | Table of 159edo intervals | ||
|- | |- | ||
! Step | ! Step | ||
| Line 1,342: | Line 1,341: | ||
== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||
|- | |||
! rowspan="2" | [[Subgroup]] | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" | [[Comma list | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br>8ve | ! rowspan="2" | Optimal<br />8ve stretch (¢) | ||
! colspan="2" | Tuning | ! colspan="2" | Tuning error | ||
|- | |- | ||
! [[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
| Line 1,402: | Line 1,402: | ||
{| class="commatable wikitable center-all left-3 right-4 left-6" | {| class="commatable wikitable center-all left-3 right-4 left-6" | ||
|- | |- | ||
! [[Harmonic limit|Prime <br>limit]] | ! [[Harmonic limit|Prime<br>limit]] | ||
! [[Ratio]]<ref> | ! [[Ratio]]<ref group="note">{{rd}}</ref> | ||
! [[Monzo]] | ! [[Monzo]] | ||
! [[Cents]] | ! [[Cents]] | ||
| Line 1,857: | Line 1,857: | ||
Note: 5-limit temperaments supported by 53et are not included. | Note: 5-limit temperaments supported by 53et are not included. | ||
{| class="wikitable center-all | {| class="wikitable center-all left-5" | ||
|+Table of rank-2 temperaments by generator | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
! Periods<br>per 8ve | |- | ||
! Periods<br />per 8ve | |||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br> | ! Associated<br />ratio* | ||
! Temperament | ! Temperament | ||
|- | |- | ||
| Line 1,979: | Line 1,980: | ||
| [[Iodine]] | | [[Iodine]] | ||
|} | |} | ||
<nowiki>* | <nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct | ||
== Music == | == Music == | ||
| Line 1,993: | Line 1,994: | ||
; [[Ozan Yarman]] | ; [[Ozan Yarman]] | ||
* [https://www.youtube.com/watch?v=O5Dn6v3UOtM ''ENTIRE ORCHESTRAL 79-tone "Pesendide Fugue" (III. Selim & Ozan Yarman)''] | * [https://www.youtube.com/watch?v=O5Dn6v3UOtM ''ENTIRE ORCHESTRAL 79-tone "Pesendide Fugue" (III. Selim & Ozan Yarman)''] – Ozan Yarman's (5-voice & 2-subject) Choral Fugue of Sultan III. Selim's Pesendide Ağır Semai in Ağır Aksak usul] (re-scored in accordance with Yarman's 79-tone tuning) | ||
* [https://www.youtube.com/watch?v=xoCR1rDXhWI ''Whitecap Visualizer assisted (CHOIR + Digitized Ottoman Singing VocalWriter + STRINGS only)''] | * [https://www.youtube.com/watch?v=xoCR1rDXhWI ''Whitecap Visualizer assisted (CHOIR + Digitized Ottoman Singing VocalWriter + STRINGS only)''] – flow of the ENTIRE "Pesendide Fugue" in the 79-tone Qanun tuning | ||
* [https://www.youtube.com/watch?v=tAcmvGgERC4 ''79'lu sistemde MISIRLI Udi İbrahim Efendi'nin çoksesli Acemaşiran Sazsemaisi -- Ozan Yarman''] | * [https://www.youtube.com/watch?v=tAcmvGgERC4 ''79'lu sistemde MISIRLI Udi İbrahim Efendi'nin çoksesli Acemaşiran Sazsemaisi -- Ozan Yarman''] – Adjemashiran Sazsemai of "Egyptian" Ud-player Ibrahim Efendi in 79 MOS 159-tET as polyphonalized by Ozan Yarman (2005-2022) | ||
* [https://www.youtube.com/watch?v=dT9RssZ1950 ''79-ton RAST KAR-I NATIK (Ozan Yarman -- thicc vokal ver.)''] | * [https://www.youtube.com/watch?v=dT9RssZ1950 ''79-ton RAST KAR-I NATIK (Ozan Yarman -- thicc vokal ver.)''] – RAST KAR-I NATIK by Ozan Yarman in his 79-tone Qanun tuning | ||
== Instruments == | == Instruments == | ||
Currently, there is an instrument under development by [[Erik Natanael]] called the "Neod"<ref>[https://www.youtube.com/watch?v=HwTCF0zeo4o Erik Natanael - neod.1: Explaining my 53edo musical instrument]</ref>, which utilizes this system. Although 53edo is the basis for most of the keys on this instrument, there are additional buttons which modify the pitch by a single step of 159edo. | Currently, there is an instrument under development by [[Erik Natanael]] called the "Neod"<ref>[https://www.youtube.com/watch?v=HwTCF0zeo4o Erik Natanael - neod.1: Explaining my 53edo musical instrument]</ref>, which utilizes this system. Although 53edo is the basis for most of the keys on this instrument, there are additional buttons which modify the pitch by a single step of 159edo. | ||
== Articles == | == Articles == | ||
* [http://www.ozanyarman.com/files/doctorate_thesis.pdf ''79-Tone Tuning & Theory for Turkish Maqam Music''] | * [http://www.ozanyarman.com/files/doctorate_thesis.pdf ''79-Tone Tuning & Theory for Turkish Maqam Music''] – Ozan Yarman's dissertation | ||
* [http://www.ozanyarman.com/files/34ten79a.pdf ''Search For A Theoretical Model Conforming To Turkish Maqam Music Practice: A Selection Of Fixed-Pitch Settings From 34-tone Equal Temperament To The 79-tone Tuning''] | * [http://www.ozanyarman.com/files/34ten79a.pdf ''Search For A Theoretical Model Conforming To Turkish Maqam Music Practice: A Selection Of Fixed-Pitch Settings From 34-tone Equal Temperament To The 79-tone Tuning''] – also by Ozan Yarman, gives a summary | ||
* [http://www.bestii.com/~mschulter/17-MOS-tunings_Letter-to-Ozan.txt Letter to Ozan Yarman] by Margo Schulter [https://www.webcitation.org/5xepptaan (permalink)] | * [http://www.bestii.com/~mschulter/17-MOS-tunings_Letter-to-Ozan.txt Letter to Ozan Yarman] by Margo Schulter [https://www.webcitation.org/5xepptaan (permalink)] | ||
== References == | == References == | ||
<references/> | <references group="note" /> | ||
== References == | |||
<references /> | |||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||
| Line 2,014: | Line 2,017: | ||
[[Category:159edo]] | [[Category:159edo]] | ||
[[Category:Guiron]] | [[Category:Guiron]] | ||
[[Category:Listen]] | |||
[[Category:Maqam]] | [[Category:Maqam]] | ||
[[Category:Nexus]] | [[Category:Nexus]] | ||
[[Category:Quartismic]] | |||
[[Category:Tritikleismic]] | [[Category:Tritikleismic]] | ||
[[Category:Yarman]] | [[Category:Yarman]] | ||