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 an MOS scale are still considered to be the same MOS scale, so subsets of those are still valid.
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'''
Line 12: Line 12:
* '''1199.847'''
* '''1199.847'''


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


=Negri[6]=
== Negri[6] ==
* '''127.643'''
* '''127.643'''
* '''689.274'''
* '''689.274'''
Line 22: Line 22:
* '''1199.847'''
* '''1199.847'''


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


=Negri[7]=
== Negri[7] ==
* '''127.643'''
* '''127.643'''
* '''255.287'''
* '''255.287'''
Line 33: Line 33:
* '''1199.847'''
* '''1199.847'''


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


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


=Negri[8]=
== Negri[8] ==
* '''127.643'''
* '''127.643'''
* '''255.287'''
* '''255.287'''
Line 48: Line 48:
* '''1199.847'''
* '''1199.847'''


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


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


=Negri[9]=
== Negri[9] ==
* '''127.643'''
* '''127.643'''
* '''255.287'''
* '''255.287'''
Line 63: Line 63:
* '''1199.847'''
* '''1199.847'''


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


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


Bustling Docks
Bustling Docks (approximated from Negri in [[67edo]])
* 255.286
* 255.286
* 510.573
* 510.573
Line 74: Line 74:
* 1199.847
* 1199.847


Cavernous
Cavernous (approximated from Negri in [[67edo]])
* 255.286
* 255.286
* 510.573
* 510.573
Line 81: Line 81:
* 1199.847
* 1199.847


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


Formicarium
Formicarium (approximated from Negri in [[67edo]])
* 255.286
* 255.286
* 382.93
* 382.93
Line 97: Line 97:
* 1199.847
* 1199.847


[[Sahara]] septatonic
[[Sahara]] septatonic (approximated subset from POTE Sahara[9])
* 255.287
* 255.287
* 382.930
* 382.930
Line 106: Line 106:
* 1199.847
* 1199.847


Understory
Understory (approximated from Negri in [[67edo]])
* 255.286
* 255.286
* 382.93
* 382.93
Line 113: Line 113:
* 1199.847
* 1199.847


=Negri[10]=
== Negri[10] ==
* '''127.643'''
* '''127.643'''
* '''255.287'''
* '''255.287'''
Line 125: Line 125:
* '''1199.847'''
* '''1199.847'''


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


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


Negri Blues
Negri Blues (approximated from Negri in [[67edo]])
* 255.287
* 255.287
* 510.573
* 510.573
Line 137: Line 137:
* 1199.847
* 1199.847


=Negri[19]=
== Negri[19] ==
* '''51.057'''
* '''51.057'''
* '''127.643'''
* '''127.643'''
Line 158: Line 158:
* '''1199.847'''
* '''1199.847'''


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


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


Negri Blues Heptatonic
Negri Blues Heptatonic (approximated from Negri in [[67edo]])
* 255.287
* 255.287
* 510.573
* 510.573
Line 171: Line 171:
* 1199.847
* 1199.847


Negri Blues Octatonic
Negri Blues Octatonic (approximated from Negri in [[67edo]])
* 127.643
* 127.643
* 382.930
* 382.930
Line 181: Line 181:
* 1199.847
* 1199.847


=Negri[28]=
== Negri[28] ==
* '''51.057'''
* '''51.057'''
* '''76.586'''
* '''76.586'''
Line 211: Line 211:
* '''1199.847'''
* '''1199.847'''


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


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


=Negri[47]=
== Negri[47] ==
* '''25.529'''
* '''25.529'''
* '''51.057'''
* '''51.057'''
Line 264: Line 264:
* '''1199.847'''
* '''1199.847'''


===Subsets===
=== Subsets ===
 
=Related articles=
* [[The Riemann Zeta Function and Tuning]]
* [[MOS scale]]
** [[MODMOS]]
* [[Negri]]
** [[47edo]]
** [[5- to 10-tone scales in 29edo]]
** [[5- to 10-tone scales in 67edo]]


[[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:MOS scales]]
[[Category:Negri]]
[[Category:Negri]]
[[Category:Zeta]]
[[Category:Zeta]]
[[Category:47edo]]
[[Category:47edo]]
{{Todo| cleanup | review }}

Latest revision as of 03:05, 24 June 2025

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=203182"