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== Tunings ==
== Tunings ==
[[File:3L2m2s GO scale region.png]]
{| class="wikitable"
{| class="wikitable"
|+Tuning range of nicetone
|+Tuning range of nicetone
Line 231: Line 233:
| 5-limit JI || ||203.910||182.404||111.731||315.641||386.314||701.955||L=9/8, m=10/9, s=16/15
| 5-limit JI || ||203.910||182.404||111.731||315.641||386.314||701.955||L=9/8, m=10/9, s=16/15
|-
|-
|[[15edo]]||3:2:1||240.000||160.000||80.000||320.000||400.000||720.000||
|[[15edo]]||3:2:1||240.000||160.000||80.000||320.000||400.000||720.000||5-limit patent val
|-
|-
|[[18edo]]||4:2:1||266.667||133.333||66.667||333.333||400.000||733.333||
|[[18edo]]||4:2:1||266.667||133.333||66.667||333.333||400.000||733.333||5-limit patent val
|-
|-
|[[20edo]]||4:3:1||240.000||180.000||60.000||300.000||420.000||720.000||
|[[20edo]]||4:3:1||240.000||180.000||60.000||300.000||420.000||720.000||
Line 239: Line 241:
|[[21edo]]||5:2:1||285.714||114.286||57.143||342.857||400.000||742.857||
|[[21edo]]||5:2:1||285.714||114.286||57.143||342.857||400.000||742.857||
|-
|-
|[[22edo]]||4:3:2||218.182||163.636||109.091||327.273||381.818||709.091||
|[[22edo]]||4:3:2||218.182||163.636||109.091||327.273||381.818||709.091||5-limit patent val
|-
|-
|[[23edo]]||5:3:1||260.870||156.522||52.174||313.043||417.391||730.435||
|[[23edo]]||5:3:1||260.870||156.522||52.174||313.043||417.391||730.435||
Line 245: Line 247:
|[[24edo]]||6:2:1||300.000||100.000||50.000||350.000||400.000||750.000||
|[[24edo]]||6:2:1||300.000||100.000||50.000||350.000||400.000||750.000||
|-
|-
| rowspan="2" |[[25edo]]||5:3:2||240.000||144.000||96.000||336.000||384.000||720.000||
| rowspan="2" |[[25edo]]||5:3:2||240.000||144.000||96.000||336.000||384.000||720.000||5-limit patent val
|-
|-
|5:4:1||240.000||192.000||48.000||288.000||432.000||720.000||
|5:4:1||240.000||192.000||48.000||288.000||432.000||720.000||
Line 251: Line 253:
|[[26edo]]||6:3:1||276.923||138.462||46.154||323.077||415.385||738.462||
|[[26edo]]||6:3:1||276.923||138.462||46.154||323.077||415.385||738.462||
|-
|-
| rowspan="2" |[[27edo]]||5:4:2||222.222||177.778||88.889||311.111||400.000||711.111||
| rowspan="2" |[[27edo]]||5:4:2||222.222||177.778||88.889||311.111||400.000||711.111||5-limit patent val
|-
|-
|7:2:1||311.111||88.889||44.444||355.556||400.000||755.556||
|7:2:1||311.111||88.889||44.444||355.556||400.000||755.556||
Line 259: Line 261:
|6:4:1||257.143||171.429||42.857||300.000||428.571||728.571||
|6:4:1||257.143||171.429||42.857||300.000||428.571||728.571||
|-
|-
| rowspan="2" |[[29edo]]||5:4:3||206.897||165.517||124.138||331.034||372.414||703.448||
| rowspan="2" |[[29edo]]||5:4:3||206.897||165.517||124.138||331.034||372.414||703.448||5-limit patent val
|-
|-
|7:3:1||289.655||124.138||41.379||331.034||413.793||744.828||
|7:3:1||289.655||124.138||41.379||331.034||413.793||744.828||
Line 271: Line 273:
|7:4:1||270.968||154.839||38.710||309.677||425.806||735.484||
|7:4:1||270.968||154.839||38.710||309.677||425.806||735.484||
|-
|-
| rowspan="3" |[[32edo]]||6:4:3||225.000||150.000||112.500||337.500||375.000||712.500||
| rowspan="3" |[[32edo]]||6:4:3||225.000||150.000||112.500||337.500||375.000||712.500||5-limit patent val
|-
|-
|6:5:2||225.000||187.500||75.000||300.000||412.500||712.500||
|6:5:2||225.000||187.500||75.000||300.000||412.500||712.500||
Line 283: Line 285:
|9:2:1||327.273||72.727||36.364||363.636||400.000||763.636||
|9:2:1||327.273||72.727||36.364||363.636||400.000||763.636||
|-
|-
| rowspan="3" |[[34edo]]||6:5:3||211.765||176.471||105.882||317.647||388.235||705.882||
| rowspan="3" |[[34edo]]||6:5:3||211.765||176.471||105.882||317.647||388.235||705.882||5-limit patent val
|-
|-
|8:3:2||282.353||105.882||70.588||352.941||388.235||741.176||
|8:3:2||282.353||105.882||70.588||352.941||388.235||741.176||
Line 303: Line 305:
|10:2:1||333.333||66.667||33.333||366.667||400.000||766.667||
|10:2:1||333.333||66.667||33.333||366.667||400.000||766.667||
|-
|-
| rowspan="4" |[[37edo]]||7:5:3||227.027||162.162||97.297||324.324||389.189||713.514||
| rowspan="4" |[[37edo]]||7:5:3||227.027||162.162||97.297||324.324||389.189||713.514||5-limit patent val
|-
|-
|7:6:2||227.027||194.595||64.865||291.892||421.622||713.514||
|7:6:2||227.027||194.595||64.865||291.892||421.622||713.514||
Line 321: Line 323:
| rowspan="5" |[[39edo]]||7:5:4||215.385||153.846||123.077||338.462||369.231||707.692||
| rowspan="5" |[[39edo]]||7:5:4||215.385||153.846||123.077||338.462||369.231||707.692||
|-
|-
|7:6:3||215.385||184.615||92.308||307.692||400.000||707.692||
|7:6:3||215.385||184.615||92.308||307.692||400.000||707.692||5-limit patent val
|-
|-
|9:4:2||276.923||123.077||61.538||338.462||400.000||738.462||
|9:4:2||276.923||123.077||61.538||338.462||400.000||738.462||
Line 337: Line 339:
|10:4:1||300.000||120.000||30.000||330.000||420.000||750.000||
|10:4:1||300.000||120.000||30.000||330.000||420.000||750.000||
|-
|-
| rowspan="5" |[[41edo]]||7:6:4||204.878||175.610||117.073||321.951||380.488||702.439||
| rowspan="5" |[[41edo]]||7:6:4||204.878||175.610||117.073||321.951||380.488||702.439||5-limit patent val
|-
|-
|9:4:3||263.415||117.073||87.805||351.220||380.488||731.707||
|9:4:3||263.415||117.073||87.805||351.220||380.488||731.707||
Line 349: Line 351:
| rowspan="5" |[[42edo]]||8:5:4||228.571||142.857||114.286||342.857||371.429||714.286||
| rowspan="5" |[[42edo]]||8:5:4||228.571||142.857||114.286||342.857||371.429||714.286||
|-
|-
|8:6:3||228.571||171.429||85.714||314.286||400.000||714.286||
|8:6:3||228.571||171.429||85.714||314.286||400.000||714.286||5-limit patent val
|-
|-
|8:7:2||228.571||200.000||57.143||285.714||428.571||714.286||
|8:7:2||228.571||200.000||57.143||285.714||428.571||714.286||
Line 393: Line 395:
| rowspan="6" |[[46edo]]||8:6:5||208.696||156.522||130.435||339.130||365.217||704.348||
| rowspan="6" |[[46edo]]||8:6:5||208.696||156.522||130.435||339.130||365.217||704.348||
|-
|-
|8:7:4||208.696||182.609||104.348||313.043||391.304||704.348||
|8:7:4||208.696||182.609||104.348||313.043||391.304||704.348||5-limit patent val
|-
|-
|10:5:3||260.870||130.435||78.261||339.130||391.304||730.435||
|10:5:3||260.870||130.435||78.261||339.130||391.304||730.435||
Line 417: Line 419:
|13:3:1||331.915||76.596||25.532||357.447||408.511||765.957||
|13:3:1||331.915||76.596||25.532||357.447||408.511||765.957||
|-
|-
| rowspan="7" |[[48edo]]||8:7:5||200.000||175.000||125.000||325.000||375.000||700.000||
| rowspan="7" |[[48edo]]||8:7:5||200.000||175.000||125.000||325.000||375.000||700.000||5-limit patent val
|-
|-
|10:5:4||250.000||125.000||100.000||350.000||375.000||725.000||
|10:5:4||250.000||125.000||100.000||350.000||375.000||725.000||
Line 433: Line 435:
| rowspan="8" |[[49edo]]||9:6:5||220.408||146.939||122.449||342.857||367.347||710.204||
| rowspan="8" |[[49edo]]||9:6:5||220.408||146.939||122.449||342.857||367.347||710.204||
|-
|-
|9:7:4||220.408||171.429||97.959||318.367||391.837||710.204||
|9:7:4||220.408||171.429||97.959||318.367||391.837||710.204||5-limit patent val
|-
|-
|9:8:3||220.408||195.918||73.469||293.878||416.327||710.204||
|9:8:3||220.408||195.918||73.469||293.878||416.327||710.204||
Line 460: Line 462:
|-
|-
|14:3:1||336.000||72.000||24.000||360.000||408.000||768.000||
|14:3:1||336.000||72.000||24.000||360.000||408.000||768.000||
|-
| rowspan="9" |[[51edo]]||9:7:5||211.765||164.706||117.647||329.412||376.471||705.882||5-limit patent val
|-
|9:8:4||211.765||188.235||94.118||305.882||400.000||705.882||
|-
|11:5:4||258.824||117.647||94.118||352.941||376.471||729.412||
|-
|11:6:3||258.824||141.176||70.588||329.412||400.000||729.412||
|-
|11:7:2||258.824||164.706||47.059||305.882||423.529||729.412||
|-
|11:8:1||258.824||188.235||23.529||282.353||447.059||729.412||
|-
|13:4:2||305.882||94.118||47.059||352.941||400.000||752.941||
|-
|13:5:1||305.882||117.647||23.529||329.412||423.529||752.941||
|-
|15:2:1||352.941||47.059||23.529||376.471||400.000||776.471||
|-
| rowspan="8" |[[52edo]]||10:6:5||230.769||138.462||115.385||346.154||369.231||715.385||
|-
|10:7:4||230.769||161.538||92.308||323.077||392.308||715.385||
|-
|10:8:3||230.769||184.615||69.231||300.000||415.385||715.385||
|-
|10:9:2||230.769||207.692||46.154||276.923||438.462||715.385||
|-
|12:5:3||276.923||115.385||69.231||346.154||392.308||738.462||
|-
|12:7:1||276.923||161.538||23.077||300.000||438.462||738.462||
|-
|14:3:2||323.077||69.231||46.154||369.231||392.308||761.538||
|-
|14:4:1||323.077||92.308||23.077||346.154||415.385||761.538||
|-
| rowspan="10" |[[53edo]]||9:7:6||203.774||158.491||135.849||339.623||362.264||701.887||
|-
|9:8:5||203.774||181.132||113.208||316.981||384.906||701.887||5-limit patent val
|-
|11:6:4||249.057||135.849||90.566||339.623||384.906||724.528||
|-
|11:7:3||249.057||158.491||67.925||316.981||407.547||724.528||
|-
|11:8:2||249.057||181.132||45.283||294.340||430.189||724.528||
|-
|11:9:1||249.057||203.774||22.642||271.698||452.830||724.528||
|-
|13:4:3||294.340||90.566||67.925||362.264||384.906||747.170||
|-
|13:5:2||294.340||113.208||45.283||339.623||407.547||747.170||
|-
|13:6:1||294.340||135.849||22.642||316.981||430.189||747.170||
|-
|15:3:1||339.623||67.925||22.642||362.264||407.547||769.811||
|-
| rowspan="7" |[[54edo]]||10:7:5||222.222||155.556||111.111||333.333||377.778||711.111||5-limit patent val
|-
|10:9:3||222.222||200.000||66.667||288.889||422.222||711.111||
|-
|12:5:4||266.667||111.111||88.889||355.556||377.778||733.333||
|-
|12:7:2||266.667||155.556||44.444||311.111||422.222||733.333||
|-
|12:8:1||266.667||177.778||22.222||288.889||444.444||733.333||
|-
|14:5:1||311.111||111.111||22.222||333.333||422.222||755.556||
|-
|16:2:1||355.556||44.444||22.222||377.778||400.000||777.778||
|}
|}
== Supersets ==
[[File:Regions of MV3 supersets of 3L2m2s.png]]
Nicetone has following generator-offset MV3 supersets:
* [[Sephipechroid]]: 13-note 3L 5m 5s scale (LmsmLsmsLmsms and LmsmLsmsmLsms)
* [[Interoneichro]]: 13-note 5L 3m 5s scale (LmsLsLmsLsmLs and LmsLsmLsLsmLs)
* [[Sephimechroid]]: 13-note 5L 5m 3s scale (LmLmsLmLsmLms and LmLsmLmLsmLms)
* [[Beatloid]]: 17-note 5L 5m 7s scale (LmsLsmLsmsLmsLsms and LmsLsmLsmsLsmLsms)
* [[Enharoid]]: 17-note 5L 7m 5s scale (LmsLmsmLmsLmsmLsm and LmsLmsmLsmLmsmLsm)
* [[Moharoid]]: 17-note 7L 5m 5s scale (LmLsLmsLmLsmLsLms and LmLsmLsLmLsmLsLms)
Remarkable non-MV3 generator-offset supersets include [[blackdye]] (10-note, LmLsLmLsLs).


== See also ==
== See also ==
* [[Blackdye]], a 10-note scale that is an extension to nicetone.
* [[Blackdye]] – a 10-note scale that is an extension to nicetone.
* [[Zarlino]], a 5-limit JI scale with the same pattern.
* [[Zarlino]] – a 5-limit JI scale with the same pattern.
* [[Interdia]] - sister 2L 3m 2s scale
* [[Interdia]]­­ ­– sister 2L 3m 2s scale
* [[Antinicetone]] - sister 2L 2m 3s scale
* [[Antinicetone]] ­– sister 2L 2m 3s scale
* [[5L 2s]] - LM-equalized version of nicetone
* [[5L 2s]] – LM-equalized version of nicetone
** [[5L 2s Muddles]] - other diatonic muddles
** [[5L 2s Muddles]] – other diatonic muddles
* [[3L 4s]] - MS-equalized version of nicetone
* [[3L 4s]] – MS-equalized version of nicetone
* [[3L 2s]] - collapsed version of nicetone
* [[3L 2s]] – collapsed version of nicetone


[[Category:Rank-3 scales]]
[[Category:Rank-3 scales]]
[[Category:7-tone scales]]
[[Category:7-tone scales]]
[[Category:GO scales]]
[[Category:GO scales]]
Retrieved from "https://en.xen.wiki/w/Nicetone"