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| {{interwiki | | {{Interwiki |
| | | en = General theory |
| | de = | | | de = |
| | en = General Theory
| | | es = Teoría básica |
| | es = Teoría Básica | | | ja = 一般理論 |
| | ja = | |
| }} | | }} |
| Here are some links to some of the key ideas underlying tuning: | | Here are some links to some of the key ideas underlying tuning. |
| | |
| | If you are new to tuning theory looking for an overview, see [[Xen concepts for beginners]] and various others in our collection of [[guides]]. |
| | |
| | If you are looking for tools to start playing microtonal music, see [[List of music software]], but we would like to highlight these, which will aid your study of tuning theory: |
| | * [https://scaleworkshop.plainsound.org/ Scale Workshop] – scale-creation site by [[Lumi Pakkanen]]. Allows playing via QWERTY computer keyboard. Can also export .scl and .kbm files. |
| | * [[Xenpaper]] – text-based microtonal sequencer, like a notepad. Write down musical ideas and share the link around. |
| | * [https://www.yacavone.net/xen-calc/ xen-calc] – interval calculator that translates to/from ratios, cents, FJS and color notation, much more too. |
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| == Basics == | | == Basics == |
| Line 12: |
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| ** [[Ratio math]] | | ** [[Ratio math]] |
| * [[Cent]] | | * [[Cent]] |
| * [[Chords]] | | * [[Chord]] |
| * [[Scale]]s | | * [[Scale]] |
| | * [[Mode]] |
| * [[Musical notation]] | | * [[Musical notation]] |
| | * Terminology |
| | ** [[Glossary]] |
| | ** [[Acronyms]] |
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| |
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| == Core concepts == | | == Core concepts == |
| | * [[Just intonation]] |
| * [[Harmonic series]] | | * [[Harmonic series]] |
| * [[Just intonation]] | | ** [[Chord of nature]] |
| * [[Equal division of the octave]] | | * [[Equal division of the octave]] |
| * [[Equal division of the tritave]] | | ** [[Equal-step tuning]] ([[edt]], [[edf]], …) |
| * [[Equal-step tuning]]
| | ** [[Well temperament]] |
| * [[Arithmetic tuning]] | |
| * [[Regular temperaments]] | | * [[Regular temperaments]] |
| * [[Periods and generators]] | | ** [[Diatonic, chromatic, enharmonic, subchromatic]] |
| * [[Periodic scale]] | |
| * [[MOS scale]] | | * [[MOS scale]] |
| * [[Well temperament]] | | ** [[Periods and generators]] |
| * [[Comma pump]] | |
| * [[Hexany]] | | * [[Hexany]] |
| | * [[Delta-rational chord]] |
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| == Online tools == | | == Regular temperament theory (RTT) == |
| {{Main| List of music software #Browser-based }}
| | * [[Monzo]] |
| | | * [[Val]] |
| * [https://www.yacavone.net/xen-calc/| xen-calc] – a nice online interval calculator tool.
| | * [[Mapping]] |
| | | * [[Patent val]] |
| == Scales by size ==
| | * [[Tempering out]] |
| * [[:Category: 5-tone scales]] | | * [[Rank and codimension]] |
| * [[:Category: 6-tone scales]] | | * [[Keenan's explanation of vals]] |
| * [[:Category: 7-tone scales]] | | * [[Comma pump]] |
| * [[:Category: 8-tone scales]] | | * [[Comma basis]] |
| * [[:Category: 9-tone scales]] | | * [[Saturation, torsion, and contorsion]] |
| * [[:Category: 10-tone scales]] | | * [[Dyadic chord]] |
| * [[:Category: 11-tone scales]] | | * [[Essential tempering comma]] |
| * [[:Category: 12-tone scales]] | | * [[Graham complexity]] |
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| '''Other sizes'''
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| {| class="wikitable center-all"
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| |+ style=white-space:nowrap | 0…99
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| | [[:Category:0-tone scales|0]]
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| | [[:Category:1-tone scales|1]]
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| | [[:Category:2-tone scales|2]]
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| | [[:Category:3-tone scales|3]]
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| | [[:Category:4-tone scales|4]]
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| | [[:Category:5-tone scales|5]]
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| | [[:Category:6-tone scales|6]]
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| | [[:Category:7-tone scales|7]]
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| | [[:Category:8-tone scales|8]]
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| | [[:Category:9-tone scales|9]]
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| |-
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| | [[:Category:10-tone scales|10]]
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| | [[:Category:11-tone scales|11]]
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| | [[:Category:12-tone scales|12]]
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| | [[:Category:13-tone scales|13]]
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| | [[:Category:14-tone scales|14]]
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| | [[:Category:15-tone scales|15]]
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| | [[:Category:16-tone scales|16]]
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| | [[:Category:17-tone scales|17]]
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| | [[:Category:18-tone scales|18]]
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| | [[:Category:19-tone scales|19]]
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| |-
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| | [[:Category:20-tone scales|20]]
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| | [[:Category:21-tone scales|21]]
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| | [[:Category:22-tone scales|22]]
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| | [[:Category:23-tone scales|23]]
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| | [[:Category:24-tone scales|24]]
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| | [[:Category:25-tone scales|25]]
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| | [[:Category:26-tone scales|26]]
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| | [[:Category:27-tone scales|27]]
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| | [[:Category:28-tone scales|28]]
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| | [[:Category:29-tone scales|29]]
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| |-
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| | [[:Category:30-tone scales|30]]
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| | [[:Category:31-tone scales|31]]
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| | [[:Category:32-tone scales|32]]
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| | [[:Category:33-tone scales|33]]
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| | [[:Category:34-tone scales|34]]
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| | [[:Category:35-tone scales|35]]
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| | [[:Category:36-tone scales|36]]
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| | [[:Category:37-tone scales|37]]
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| | [[:Category:38-tone scales|38]]
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| | [[:Category:39-tone scales|39]]
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| |-
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| | [[:Category:40-tone scales|40]]
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| | [[:Category:41-tone scales|41]]
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| | [[:Category:42-tone scales|42]]
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| | [[:Category:43-tone scales|43]]
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| | [[:Category:44-tone scales|44]]
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| | [[:Category:45-tone scales|45]]
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| | [[:Category:46-tone scales|46]]
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| | [[:Category:47-tone scales|47]]
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| | [[:Category:48-tone scales|48]]
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| | [[:Category:49-tone scales|49]]
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| |-
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| | [[:Category:50-tone scales|50]]
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| | [[:Category:51-tone scales|51]]
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| | [[:Category:52-tone scales|52]]
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| | [[:Category:53-tone scales|53]]
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| | [[:Category:54-tone scales|54]]
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| | [[:Category:55-tone scales|55]]
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| | [[:Category:56-tone scales|56]]
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| | [[:Category:57-tone scales|57]]
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| | [[:Category:58-tone scales|58]]
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| | [[:Category:59-tone scales|59]]
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| |-
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| | [[:Category:60-tone scales|60]]
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| | [[:Category:61-tone scales|61]]
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| | [[:Category:62-tone scales|62]]
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| | [[:Category:63-tone scales|63]]
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| | [[:Category:64-tone scales|64]]
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| | [[:Category:65-tone scales|65]]
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| | [[:Category:66-tone scales|66]]
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| | [[:Category:67-tone scales|67]]
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| | [[:Category:68-tone scales|68]]
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| | [[:Category:69-tone scales|69]]
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| |-
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| | [[:Category:70-tone scales|70]]
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| | [[:Category:71-tone scales|71]]
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| | [[:Category:72-tone scales|72]]
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| | [[:Category:73-tone scales|73]]
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| | [[:Category:74-tone scales|74]]
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| | [[:Category:75-tone scales|75]]
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| | [[:Category:76-tone scales|76]]
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| | [[:Category:77-tone scales|77]]
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| | [[:Category:78-tone scales|78]]
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| | [[:Category:79-tone scales|79]]
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| |-
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| | [[:Category:80-tone scales|80]]
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| | [[:Category:81-tone scales|81]]
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| | [[:Category:82-tone scales|82]]
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| | [[:Category:83-tone scales|83]]
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| | [[:Category:84-tone scales|84]]
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| | [[:Category:85-tone scales|85]]
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| | [[:Category:86-tone scales|86]]
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| | [[:Category:87-tone scales|87]]
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| | [[:Category:88-tone scales|88]]
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| | [[:Category:89-tone scales|89]]
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| |-
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| | [[:Category:90-tone scales|90]]
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| | [[:Category:91-tone scales|91]]
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| | [[:Category:92-tone scales|92]]
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| | [[:Category:93-tone scales|93]]
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| | [[:Category:94-tone scales|94]]
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| | [[:Category:95-tone scales|95]]
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| | [[:Category:96-tone scales|96]]
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| | [[:Category:97-tone scales|97]]
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| | [[:Category:98-tone scales|98]]
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| | [[:Category:99-tone scales|99]]
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| |}
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| {| class="wikitable center-all mw-collapsible mw-collapsed"
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| |+ style=white-space:nowrap | 100…199
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| | [[:Category:100-tone scales|100]]
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| | [[:Category:101-tone scales|101]]
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| | [[:Category:102-tone scales|102]]
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| | [[:Category:103-tone scales|103]]
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| | [[:Category:104-tone scales|104]]
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| | [[:Category:105-tone scales|105]]
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| | [[:Category:106-tone scales|106]]
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| | [[:Category:107-tone scales|107]]
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| | [[:Category:108-tone scales|108]]
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| | [[:Category:109-tone scales|109]]
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| | [[:Category:110-tone scales|110]]
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| | [[:Category:111-tone scales|111]]
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| | [[:Category:112-tone scales|112]]
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| | [[:Category:113-tone scales|113]]
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| | [[:Category:114-tone scales|114]]
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| | [[:Category:115-tone scales|115]]
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| | [[:Category:116-tone scales|116]]
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| | [[:Category:117-tone scales|117]]
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| | [[:Category:118-tone scales|118]]
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| | [[:Category:119-tone scales|119]]
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| | [[:Category:120-tone scales|120]]
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| | [[:Category:121-tone scales|121]]
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| | [[:Category:122-tone scales|122]]
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| | [[:Category:123-tone scales|123]]
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| | [[:Category:124-tone scales|124]]
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| | [[:Category:125-tone scales|125]]
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| | [[:Category:126-tone scales|126]]
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| | [[:Category:127-tone scales|127]]
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| | [[:Category:128-tone scales|128]]
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| | [[:Category:129-tone scales|129]]
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| |-
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| | [[:Category:130-tone scales|130]]
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| | [[:Category:131-tone scales|131]]
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| | [[:Category:132-tone scales|132]]
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| | [[:Category:133-tone scales|133]]
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| | [[:Category:134-tone scales|134]]
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| | [[:Category:135-tone scales|135]]
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| | [[:Category:136-tone scales|136]]
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| | [[:Category:137-tone scales|137]]
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| | [[:Category:138-tone scales|138]]
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| | [[:Category:139-tone scales|139]]
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| |-
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| | [[:Category:140-tone scales|140]]
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| | [[:Category:141-tone scales|141]]
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| | [[:Category:142-tone scales|142]]
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| | [[:Category:143-tone scales|143]]
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| | [[:Category:144-tone scales|144]]
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| | [[:Category:145-tone scales|145]]
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| | [[:Category:146-tone scales|146]]
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| | [[:Category:147-tone scales|147]]
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| | [[:Category:148-tone scales|148]]
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| | [[:Category:149-tone scales|149]]
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| |-
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| | [[:Category:150-tone scales|150]]
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| | [[:Category:151-tone scales|151]]
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| | [[:Category:152-tone scales|152]]
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| | [[:Category:153-tone scales|153]]
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| | [[:Category:154-tone scales|154]]
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| | [[:Category:155-tone scales|155]]
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| | [[:Category:156-tone scales|156]]
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| | [[:Category:157-tone scales|157]]
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| | [[:Category:158-tone scales|158]]
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| | [[:Category:159-tone scales|159]]
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| |-
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| | [[:Category:160-tone scales|160]]
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| | [[:Category:161-tone scales|161]]
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| | [[:Category:162-tone scales|162]]
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| | [[:Category:163-tone scales|163]]
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| | [[:Category:164-tone scales|164]]
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| | [[:Category:165-tone scales|165]]
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| | [[:Category:166-tone scales|166]]
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| | [[:Category:167-tone scales|167]]
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| | [[:Category:168-tone scales|168]]
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| | [[:Category:169-tone scales|169]]
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| |-
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| | [[:Category:170-tone scales|170]]
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| | [[:Category:171-tone scales|171]]
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| | [[:Category:172-tone scales|172]]
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| | [[:Category:173-tone scales|173]]
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| | [[:Category:174-tone scales|174]]
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| | [[:Category:175-tone scales|175]]
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| | [[:Category:176-tone scales|176]]
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| | [[:Category:177-tone scales|177]]
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| | [[:Category:178-tone scales|178]]
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| | [[:Category:179-tone scales|179]]
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| |-
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| | [[:Category:180-tone scales|180]]
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| | [[:Category:181-tone scales|181]]
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| | [[:Category:182-tone scales|182]]
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| | [[:Category:183-tone scales|183]]
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| | [[:Category:184-tone scales|184]]
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| | [[:Category:185-tone scales|185]]
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| | [[:Category:186-tone scales|186]]
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| | [[:Category:187-tone scales|187]]
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| | [[:Category:188-tone scales|188]]
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| | [[:Category:189-tone scales|189]]
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| |-
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| | [[:Category:190-tone scales|190]]
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| | [[:Category:191-tone scales|191]]
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| | [[:Category:192-tone scales|192]]
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| | [[:Category:193-tone scales|193]]
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| | [[:Category:194-tone scales|194]]
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| | [[:Category:195-tone scales|195]]
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| | [[:Category:196-tone scales|196]]
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| | [[:Category:197-tone scales|197]]
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| | [[:Category:198-tone scales|198]]
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| | [[:Category:199-tone scales|199]]
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| |}
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| == Advanced theory == | | == Advanced theory == |
| {{Main| Mathematical Theory }} | | {{Main| Mathematical theory }} |
| | |
| * [[Chord of nature]]
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| * [[Cluster temperament]]
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| * [[Consonant class scale]]
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| * [[Diatonic, Chromatic, Enharmonic, Subchromatic]]
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| * [[Distributional evenness]]
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| * [[Essential tempering commas]]
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| * [[Fokker block]]
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| * [[Graham complexity]]
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| * [[Lumma stability]]
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| * [[Maximum variety]]
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| * [[Modal UDP Notation]]
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| [[Category:Theory]] | | [[Category:Theory]] |
| [[Category:Todo:review]] | | [[Category:Todo:review]] |