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Negri in zeta-stretched 47edo: Difference between revisions

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This page lists [[MOS scale]]s of [[Negri]] temperament in [[The Riemann Zeta Function and Tuning#Optimal Octave Stretch|zeta-stretched]] [[47edo]], and some interesting subsets thereof. Tunings are given in [[cents]].
This page lists [[mos scale]]s of [[negri]] temperament in [[the Riemann zeta function and tuning#Optimal octave stretch|zeta-stretched]] [[47edo]] (σ = 0.5), and some interesting subsets thereof. Tunings are given in [[cents]].
 
Modes of a mos scale are still considered to be the same mos scale, so subsets of those are still valid.


Feel free to add to it with new subsets or [[MODMOS]]es you discover.
Feel free to add to it with new subsets or [[MODMOS]]es you discover.


=Negri[5]=
== Negri[5] ==
* 127.643
* '''127.643'''
* 255.287
* '''255.287'''
* 944.560
* '''944.560'''
* 1072.204
* '''1072.204'''
* 1199.847
* '''1199.847'''
 
=== MODMOSes ===
 
== Negri[6] ==
* '''127.643'''
* '''689.274'''
* '''816.917'''
* '''944.560'''
* '''1072.204'''
* '''1199.847'''
 
=== MODMOSes ===
 
== Negri[7] ==
* '''127.643'''
* '''255.287'''
* '''689.274'''
* '''816.917'''
* '''944.560'''
* '''1072.204'''
* '''1199.847'''
 
=== MODMOSes ===
 
=== Subsets ===


===MODMOSes===
== Negri[8] ==
* '''127.643'''
* '''255.287'''
* '''382.930'''
* '''510.573'''
* '''689.274'''
* '''816.917'''
* '''944.560'''
* '''1072.204'''
* '''1199.847'''


=Negri[6]=
=== MODMOSes ===
* 127.643
* 689.274
* 816.917
* 944.560
* 1072.204
* 1199.847


===MODMOSes===
=== Subsets ===


=Negri[7]=
== Negri[9] ==
* 127.643
* '''127.643'''
* 255.287
* '''255.287'''
* 689.274
* '''382.930'''
* 816.917
* '''510.573'''
* 944.560
* '''689.274'''
* 1072.204
* '''816.917'''
* 1199.847
* '''944.560'''
* '''1072.204'''
* '''1199.847'''


===MODMOSes===
=== MODMOSes ===


===Subsets===
=== Subsets ===


=Negri[8]=
Bustling Docks (approximated from Negri in [[67edo]])
* 127.643
* 255.286
* 255.287
* 382.930
* 510.573
* 510.573
* 689.274
* 689.274
* 816.917
* 944.561
* 944.560
* 1072.204
* 1199.847
* 1199.847


===MODMOSes===
Cavernous (approximated from Negri in [[67edo]])
 
* 255.286
===Subsets===
 
=Negri[9]=
* 127.643
* 255.287
* 382.930
* 510.573
* 510.573
* 689.274
* 689.274
* 816.917
* 944.560
* 1072.204
* 1072.204
* 1199.847
* 1199.847


===MODMOSes===
Double Harmonic (approximated from [[12edo]])
 
===Subsets===
Double Harmonic
* 127.643
* 127.643
* 382.930
* 382.930
Line 73: Line 90:
* 1199.847
* 1199.847


=Negri[10]=
Formicarium (approximated from Negri in [[67edo]])
* 127.643
* 255.286
* 382.93
* 689.274
* 944.561
* 1199.847
 
[[Sahara]] septatonic (approximated subset from POTE Sahara[9])
* 255.287
* 255.287
* 382.930
* 382.930
* 510.573
* 510.573
* 561.630
* 689.274
* 689.274
* 816.917
* 944.560
* 944.560
* 1072.204
* 1072.204
* 1199.847
* 1199.847


===MODMOSes===
Understory (approximated from Negri in [[67edo]])
* 255.286
* 382.93
* 689.274
* 816.918
* 1199.847


===Subsets===
== Negri[10] ==
* '''127.643'''
* '''255.287'''
* '''382.930'''
* '''510.573'''
* '''561.630'''
* '''689.274'''
* '''816.917'''
* '''944.560'''
* '''1072.204'''
* '''1199.847'''


=Negri[19]=
=== MODMOSes ===
* 51.057
 
* 127.643
=== Subsets ===
* 178.701
 
Negri Blues (approximated from Negri in [[67edo]])
* 255.287
* 255.287
* 306.344
* 382.930
* 433.987
* 510.573
* 510.573
* 561.630
* 561.630
* 638.216
* 689.274
* 689.274
* 765.860
* 816.917
* 893.503
* 944.560
* 944.560
* 1021.146
* 1072.204
* 1148.790
* 1199.847
* 1199.847


===MODMOSes===
== Negri[19] ==
* '''51.057'''
* '''127.643'''
* '''178.701'''
* '''255.287'''
* '''306.344'''
* '''382.930'''
* '''433.987'''
* '''510.573'''
* '''561.630'''
* '''638.216'''
* '''689.274'''
* '''765.860'''
* '''816.917'''
* '''893.503'''
* '''944.560'''
* '''1021.146'''
* '''1072.204'''
* '''1148.790'''
* '''1199.847'''


===Subsets===
=== MODMOSes ===


=Negri[28]=
=== Subsets ===
* 51.057
 
* 76.586
Negri Blues Heptatonic (approximated from Negri in [[67edo]])
* 127.643
* 178.701
* 204.229
* 255.287
* 255.287
* 306.344
* 331.873
* 382.930
* 433.987
* 459.516
* 510.573
* 510.573
* 561.630
* 561.630
* 587.159
* 638.216
* 689.274
* 689.274
* 740.331
* 765.860
* 816.917
* 867.974
* 893.503
* 893.503
* 944.560
* 944.560
* 995.618
* 1021.146
* 1072.204
* 1123.261
* 1148.790
* 1199.847
* 1199.847


===MODMOSes===
Negri Blues Octatonic (approximated from Negri in [[67edo]])
 
===Subsets===
 
=Negri[47]=
* 25.529
* 51.057
* 76.586
* 102.115
* 127.643
* 127.643
* 153.172
* 178.701
* 204.229
* 229.758
* 255.287
* 280.815
* 306.344
* 331.873
* 357.401
* 382.930
* 382.930
* 408.458
* 433.987
* 459.516
* 485.044
* 510.573
* 510.573
* 536.102
* 689.274
* 561.630
* 587.159
* 612.688
* 638.216
* 663.745
* 689.273
* 714.802
* 740.331
* 765.860
* 791.388
* 816.917
* 816.917
* 842.446
* 867.974
* 893.503
* 919.032
* 944.560
* 970.089
* 995.618
* 1021.146
* 1021.146
* 1046.675
* 1072.204
* 1072.204
* 1097.732
* 1123.261
* 1148.790
* 1174.318
* 1199.847
* 1199.847


===MODMOSes===
== Negri[28] ==
* '''51.057'''
* '''76.586'''
* '''127.643'''
* '''178.701'''
* '''204.229'''
* '''255.287'''
* '''306.344'''
* '''331.873'''
* '''382.930'''
* '''433.987'''
* '''459.516'''
* '''510.573'''
* '''561.630'''
* '''587.159'''
* '''638.216'''
* '''689.274'''
* '''740.331'''
* '''765.860'''
* '''816.917'''
* '''867.974'''
* '''893.503'''
* '''944.560'''
* '''995.618'''
* '''1021.146'''
* '''1072.204'''
* '''1123.261'''
* '''1148.790'''
* '''1199.847'''
 
=== MODMOSes ===
 
=== Subsets ===


===Subsets===
== Negri[47] ==
* '''25.529'''
* '''51.057'''
* '''76.586'''
* '''102.115'''
* '''127.643'''
* '''153.172'''
* '''178.701'''
* '''204.229'''
* '''229.758'''
* '''255.287'''
* '''280.815'''
* '''306.344'''
* '''331.873'''
* '''357.401'''
* '''382.930'''
* '''408.458'''
* '''433.987'''
* '''459.516'''
* '''485.044'''
* '''510.573'''
* '''536.102'''
* '''561.630'''
* '''587.159'''
* '''612.688'''
* '''638.216'''
* '''663.745'''
* '''689.273'''
* '''714.802'''
* '''740.331'''
* '''765.860'''
* '''791.388'''
* '''816.917'''
* '''842.446'''
* '''867.974'''
* '''893.503'''
* '''919.032'''
* '''944.560'''
* '''970.089'''
* '''995.618'''
* '''1021.146'''
* '''1046.675'''
* '''1072.204'''
* '''1097.732'''
* '''1123.261'''
* '''1148.790'''
* '''1174.318'''
* '''1199.847'''


=Related articles=
=== Subsets ===
* [[Negri]]
* [[47edo]]
* [[The Riemann Zeta Function and Tuning]]
* [[MOS scale]]
* [[MODMOS]]
* [[5- to 10-tone scales in 29edo]] (has a section for Negri)


[[Category:Tempered scales]]
[[Category:Tempered scales]]
[[Category:7-tone scales]]
[[Category:Pages with mostly numerical content]]
[[Category:9-tone scales]]
[[Category:10-tone scales]]
[[Category:19-tone scales]]
[[Category:28-tone scales]]
[[Category:47-tone scales]]
[[Category:MOS scales]]
[[Category:Negri]]
[[Category:Negri]]
[[Category:Zeta]]
[[Category:Zeta]]
[[Category:47edo]]
[[Category:47edo]]
{{Todo| cleanup | review }}
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