Ploidacot/Delta-hexacot - Revision history

ArrowHead294 at 20:15, 25 January 2026

2026-01-25T20:15:38Z

← Older revision		Revision as of 20:15, 25 January 2026
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	{{Infobox ploidacot\|Ploids=1\|Shears=4\|Cots=6\|Pergen=[P8, P11/6]\|Forms=13, 17, 21, 38\|Title=Delta-hexacot\|Wedgie=6}}		{{Infobox ploidacot\|Ploids=1\|Shears=4\|Cots=6\|Pergen=[P8, P11/6]\|Forms=13, 17, 21, 38\|Title=Delta-hexacot\|Wedgie=6}}
	'''Delta-hexacot ''' is a temperament archetype where the generator is a minor third of about 282–284{{~~cent~~}}, six of which make a perfect eleventh of [[8/3]], and the period is a [[2/1]] octave. Delta-hexacot temperaments also include all [[Ploidacot/Dicot\|dicot]] and [[Ploidacot/Alpha-tricot\|alpha-tricot]] intervals. Delta-hexacot temperaments typically generate the [[4L 5s]], [[4L 9s]], and [[4L 13s]] MOS scales.		'''Delta-hexacot ''' is a temperament archetype where the generator is a minor third of about 282–284{{c}}, six of which make a perfect eleventh of [[8/3]], and the period is a [[2/1]] octave. Delta-hexacot temperaments also include all [[Ploidacot/Dicot\|dicot]] and [[Ploidacot/Alpha-tricot\|alpha-tricot]] intervals. Delta-hexacot temperaments typically generate the [[4L 5s]], [[4L 9s]], and [[4L 13s]] MOS scales.

	== Intervals and notation ==		== Intervals and notation ==

ArrowHead294 at 20:15, 25 January 2026

2026-01-25T20:15:14Z

← Older revision		Revision as of 20:15, 25 January 2026
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	{{Breadcrumb}}		{{Breadcrumb}}
	{{Infobox ploidacot\|Ploids=1\|Shears=4\|Cots=6\|Pergen=[P8, P11/6]\|Forms=13, 17, 21, 38\|Title=Delta-hexacot\|Wedgie=6}}		{{Infobox ploidacot\|Ploids=1\|Shears=4\|Cots=6\|Pergen=[P8, P11/6]\|Forms=13, 17, 21, 38\|Title=Delta-hexacot\|Wedgie=6}}
	'''Delta-hexacot ''' is a temperament archetype where the generator is a minor third of about ~~282–284¢~~, six of which make a perfect eleventh of [[8/3]], and the period is a [[2/1]] octave. Delta-hexacot temperaments also include all [[Ploidacot/Dicot\|dicot]] and [[Ploidacot/Alpha-tricot\|alpha-tricot]] intervals. Delta-hexacot temperaments typically generate the [[4L 5s]], [[4L 9s]], and [[4L 13s]] MOS scales.		'''Delta-hexacot ''' is a temperament archetype where the generator is a minor third of about 282–284{{cent}}, six of which make a perfect eleventh of [[8/3]], and the period is a [[2/1]] octave. Delta-hexacot temperaments also include all [[Ploidacot/Dicot\|dicot]] and [[Ploidacot/Alpha-tricot\|alpha-tricot]] intervals. Delta-hexacot temperaments typically generate the [[4L 5s]], [[4L 9s]], and [[4L 13s]] MOS scales.

	== Intervals and notation ==		== Intervals and notation ==
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	== Temperament interpretations ==		== Temperament interpretations ==
	An obvious interpretation for delta-hexacot is [[neominor]], where the generator is [[13/11]]~[[20/17]], two of which make [[18/13]], three make [[18/11]] above an octave, six make a perfect eleventh, seven make [[11/7]] above an octave, eight make [[13/7]] above an octave, ten make [[9/7]] above two octaves, and nineteen make [[7/5]] above four octaves.		An obvious interpretation for delta-hexacot is [[neominor]], where the generator is {{nowrap\|[[13/11]]~[[20/17]]}}, two of which make [[18/13]], three make [[18/11]] above an octave, six make a perfect eleventh, seven make [[11/7]] above an octave, eight make [[13/7]] above an octave, ten make [[9/7]] above two octaves, and nineteen make [[7/5]] above four octaves.

	[[Category:Ploidacots\|Delta-hexacot]]		[[Category:Ploidacots\|Delta-hexacot]]

Xenllium: Created page with "{{Breadcrumb}} {{Infobox ploidacot|Ploids=1|Shears=4|Cots=6|Pergen=[P8, P11/6]|Forms=13, 17, 21, 38|Title=Delta-hexacot|Wedgie=6}} '''Delta-hexacot ''' is a temperament archetype where the generator is a minor third of about 282–284¢, six of which make a perfect eleventh of 8/3, and the period is a 2/1 octave. Delta-hexacot temperaments also include all dicot and alpha-tricot intervals. Delta-hexacot temperaments..."

2026-01-25T14:46:18Z

Created page with "{{Breadcrumb}} {{Infobox ploidacot|Ploids=1|Shears=4|Cots=6|Pergen=[P8, P11/6]|Forms=13, 17, 21, 38|Title=Delta-hexacot|Wedgie=6}} '''Delta-hexacot ''' is a temperament archetype where the generator is a minor third of about 282–284¢, six of which make a perfect eleventh of 8/3, and the period is a 2/1 octave. Delta-hexacot temperaments also include all dicot and alpha-tricot intervals. Delta-hexacot temperaments..."

New page

{{Breadcrumb}}
{{Infobox ploidacot|Ploids=1|Shears=4|Cots=6|Pergen=[P8, P11/6]|Forms=13, 17, 21, 38|Title=Delta-hexacot|Wedgie=6}}
'''Delta-hexacot ''' is a temperament archetype where the generator is a minor third of about 282–284¢, six of which make a perfect eleventh of [[8/3]], and the period is a [[2/1]] octave. Delta-hexacot temperaments also include all [[Ploidacot/Dicot|dicot]] and [[Ploidacot/Alpha-tricot|alpha-tricot]] intervals. Delta-hexacot temperaments typically generate the [[4L 5s]], [[4L 9s]], and [[4L 13s]] MOS scales.

== Intervals and notation ==
Due to dividing the eleventh into so many steps, standard notation becomes almost useless for delta-hexacot. Regardless, notation has been provided for where delta-hexacot intervals align with standard dicot intervals (which use [[neutral chain-of-fifths notation]]).

{| class="wikitable"
|+ style="font-size: 105%;" | Delta-hexacot intervals (assuming pure fifth and octave)
|-
! #
! Cents
! Notation
! Name
|-
| −24
| 407.820
| E
| major third
|-
| −23
| 690.828
|
|
|-
| −22
| 973.835
|
|
|-
| −21
| 56.843
| Ct
| semiaugmented unison
|-
| −20
| 339.850
|
|
|-
| −19
| 622.858
|
|
|-
| −18
| 905.865
| A
| major sixth
|-
| −17
| 1188.873
|
|
|-
| −16
| 271.880
|
|
|-
| −15
| 554.888
| Ft
| semiaugmented fourth
|-
| −14
| 837.895
|
|
|-
| −13
| 1120.903
|
|
|-
| −12
| 203.910
| D
| major second
|-
| −11
| 486.918
|
|
|-
| −10
| 769.925
|
|
|-
| −9
| 1052.933
| Bd
| neutral seventh
|-
| −8
| 135.940
|
|
|-
| −7
| 418.948
|
|
|-
| −6
| 701.955
| G
| perfect fifth
|-
| −5
| 984.963
|
|
|-
| −4
| 67.970
|
|
|-
| −3
| 350.978
| Ed
| neutral third
|-
| −2
| 633.985
|
|
|-
| −1
| 916.993
|
|
|-
| 0
| 0.000
| C
| perfect unison
|-
| 1
| 283.007
|
|
|-
| 2
| 566.015
|
|
|-
| 3
| 849.022
| Ad
| neutral sixth
|-
| 4
| 1132.030
|
|
|-
| 5
| 215.037
|
|
|-
| 6
| 498.045
| F
| perfect fourth
|-
| 7
| 781.052
|
|
|-
| 8
| 1064.060
|
|
|-
| 9
| 147.067
| Dd
| neutral second
|-
| 10
| 430.075
|
|
|-
| 11
| 713.082
|
|
|-
| 12
| 996.090
| Bb
| minor seventh
|-
| 13
| 79.097
|
|
|-
| 14
| 362.105
|
|
|-
| 15
| 645.112
| Gd
| semidiminished fifth
|-
| 16
| 928.120
|
|
|-
| 17
| 11.127
|
|
|-
| 18
| 294.135
| Eb
| minor third
|-
| 19
| 577.142
|
|
|-
| 20
| 860.150
|
|
|-
| 21
| 1143.157
| Cd
| semidiminished octave
|-
| 22
| 226.165
|
|
|-
| 23
| 509.172
|
|
|-
| 24
| 792.180
| Ab
| minor sixth
|}

== Temperament interpretations ==
An obvious interpretation for delta-hexacot is [[neominor]], where the generator is [[13/11]]~[[20/17]], two of which make [[18/13]], three make [[18/11]] above an octave, six make a perfect eleventh, seven make [[11/7]] above an octave, eight make [[13/7]] above an octave, ten make [[9/7]] above two octaves, and nineteen make [[7/5]] above four octaves.

[[Category:Ploidacots|Delta-hexacot]]