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.  
This page lists [[mos scale]]s of [[negri]] temperament in [[Riemann zeta function#Optimal octave stretch|zeta-stretched]] [[47edo]] (σ = 0.5), and some interesting subsets thereof. Tunings are given in [[cents]].


Feel free to add to it with new subsets you discover.
Modes of a mos scale are still considered to be the same mos scale, so subsets of those are still valid.


=Negri[9]=
Feel free to add to it with new subsets or [[MODMOS]]es you discover.
* 127.643
 
* 255.287
== Negri[5] ==
* 382.930
* '''127.643'''
* '''255.287'''
* '''944.560'''
* '''1072.204'''
* '''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 ===
 
== Negri[8] ==
* '''127.643'''
* '''255.287'''
* '''382.930'''
* '''510.573'''
* '''689.274'''
* '''816.917'''
* '''944.560'''
* '''1072.204'''
* '''1199.847'''
 
=== MODMOSes ===
 
=== Subsets ===
 
== Negri[9] ==
* '''127.643'''
* '''255.287'''
* '''382.930'''
* '''510.573'''
* '''689.274'''
* '''816.917'''
* '''944.560'''
* '''1072.204'''
* '''1199.847'''
 
=== MODMOSes ===
 
=== Subsets ===
 
Bustling Docks (approximated from Negri in [[67edo]])
* 255.286
* 510.573
* 689.274
* 944.561
* 1199.847
 
Cavernous (approximated from Negri in [[67edo]])
* 255.286
* 510.573
* 510.573
* 689.274
* 689.274
* 816.917
* 944.560
* 1072.204
* 1072.204
* 1199.847
* 1199.847


==Subsets==
Double Harmonic (approximated from [[12edo]])
Double Harmonic
* 127.643
* 127.643
* 382.930
* 382.930
Line 24: 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


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


==Subsets==
== 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'''


=Negri[28]=
=== MODMOSes ===
* 51.057
 
* 76.586
=== Subsets ===
* 127.643
 
* 178.701
Negri Blues Heptatonic (approximated from Negri in [[67edo]])
* 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


==Subsets==
Negri Blues Octatonic (approximated from Negri in [[67edo]])
 
=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


==Subsets==
== 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 ===
 
== 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'''
 
=== Subsets ===


=Related articles=
[[Category:Tempered scales]]
* [[Negri]]
[[Category:Pages with mostly numerical content]]
* [[47edo]]
[[Category:Negri]]
* [[The Riemann Zeta Function and Tuning]]
[[Category:Zeta]]
[[Category:47edo]]
{{Todo| cleanup | review }}

Latest revision as of 19:21, 16 July 2026

This page lists mos scales of negri temperament in 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 MODMOSes you discover.

Negri[5]

  • 127.643
  • 255.287
  • 944.560
  • 1072.204
  • 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

Negri[8]

  • 127.643
  • 255.287
  • 382.930
  • 510.573
  • 689.274
  • 816.917
  • 944.560
  • 1072.204
  • 1199.847

MODMOSes

Subsets

Negri[9]

  • 127.643
  • 255.287
  • 382.930
  • 510.573
  • 689.274
  • 816.917
  • 944.560
  • 1072.204
  • 1199.847

MODMOSes

Subsets

Bustling Docks (approximated from Negri in 67edo)

  • 255.286
  • 510.573
  • 689.274
  • 944.561
  • 1199.847

Cavernous (approximated from Negri in 67edo)

  • 255.286
  • 510.573
  • 689.274
  • 1072.204
  • 1199.847

Double Harmonic (approximated from 12edo)

  • 127.643
  • 382.930
  • 510.573
  • 689.274
  • 816.917
  • 1072.204
  • 1199.847

Formicarium (approximated from Negri in 67edo)

  • 255.286
  • 382.93
  • 689.274
  • 944.561
  • 1199.847

Sahara septatonic (approximated subset from POTE Sahara[9])

  • 255.287
  • 382.930
  • 510.573
  • 689.274
  • 944.560
  • 1072.204
  • 1199.847

Understory (approximated from Negri in 67edo)

  • 255.286
  • 382.93
  • 689.274
  • 816.918
  • 1199.847

Negri[10]

  • 127.643
  • 255.287
  • 382.930
  • 510.573
  • 561.630
  • 689.274
  • 816.917
  • 944.560
  • 1072.204
  • 1199.847

MODMOSes

Subsets

Negri Blues (approximated from Negri in 67edo)

  • 255.287
  • 510.573
  • 561.630
  • 689.274
  • 944.560
  • 1199.847

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

MODMOSes

Subsets

Negri Blues Heptatonic (approximated from Negri in 67edo)

  • 255.287
  • 510.573
  • 561.630
  • 689.274
  • 893.503
  • 944.560
  • 1199.847

Negri Blues Octatonic (approximated from Negri in 67edo)

  • 127.643
  • 382.930
  • 510.573
  • 689.274
  • 816.917
  • 1021.146
  • 1072.204
  • 1199.847

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

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

Subsets

Retrieved from "https://en.xen.wiki/index.php?title=Negri_in_zeta-stretched_47edo&oldid=234205"