Fredg999 category edits: Removing from Category:Ploidacots using Cat-a-lot

2026-07-16T06:38:45Z

Removing from Category:Ploidacots using Cat-a-lot

← Older revision		Revision as of 06:38, 16 July 2026
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	== Temperament interpretations ==		== Temperament interpretations ==
	An obvious interpretation for alpha-hexacot is [[kleismic]], where the generator is [[6/5]], three of which make [[26/15]]~[[45/26]], four make [[25/24]]~[[26/25]]~[[27/26]] above an octave, five make [[5/4]] above an octave, and six make a perfect twelfth. There are some extensions for full 13-limit: the most accurate mapping of 7 and 11 gives [[catakleismic]] (19 & 53).		An obvious interpretation for alpha-hexacot is [[kleismic]], where the generator is [[6/5]], three of which make [[26/15]]~[[45/26]], four make [[25/24]]~[[26/25]]~[[27/26]] above an octave, five make [[5/4]] above an octave, and six make a perfect twelfth. There are some extensions for full 13-limit: the most accurate mapping of 7 and 11 gives [[catakleismic]] (19 & 53).

	~~[[Category:Ploidacots\|Alpha-hexacot]]~~

Xenllium: Created page with "{{Breadcrumb}} {{Infobox ploidacot|Ploids=1|Shears=1|Cots=6|Pergen=[P8, P12/6]|Forms=11, 15, 19, 34|Title=Alpha-hexacot|Wedgie=6}} '''Alpha-hexacot''' is a temperament archetype where the generator is a minor third of about 316–318¢, six of which make a perfect twelfth of 3/1, and the period is a 2/1 octave. Alpha-hexacot temperaments also include all alpha-dicot and alpha-tricot intervals. Alpha-hexacot tem..."

2026-01-10T06:57:08Z

Created page with "{{Breadcrumb}} {{Infobox ploidacot|Ploids=1|Shears=1|Cots=6|Pergen=[P8, P12/6]|Forms=11, 15, 19, 34|Title=Alpha-hexacot|Wedgie=6}} '''Alpha-hexacot''' is a temperament archetype where the generator is a minor third of about 316–318¢, six of which make a perfect twelfth of 3/1, and the period is a 2/1 octave. Alpha-hexacot temperaments also include all alpha-dicot and alpha-tricot intervals. Alpha-hexacot tem..."

New page

{{Breadcrumb}}
{{Infobox ploidacot|Ploids=1|Shears=1|Cots=6|Pergen=[P8, P12/6]|Forms=11, 15, 19, 34|Title=Alpha-hexacot|Wedgie=6}}
'''Alpha-hexacot''' is a temperament archetype where the generator is a minor third of about 316–318¢, six of which make a perfect twelfth of [[3/1]], and the period is a [[2/1]] octave. Alpha-hexacot temperaments also include all [[Ploidacot/Alpha-dicot|alpha-dicot]] and [[Ploidacot/Alpha-tricot|alpha-tricot]] intervals. Alpha-hexacot temperaments typically generate the [[4L 7s]] and [[4L 11s]] MOS scales.

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

{| class="wikitable"
|+ style="font-size: 105%;" | Alpha-hexacot intervals (assuming pure fifth and octave)
|-
! #
! Cents
! Notation
! Name
|-
| −24
| 792.180
| Ab
| minor sixth
|-
| −23
| 1109.172
|
|
|-
| −22
| 226.165
|
|
|-
| −21
| 543.157
|
|
|-
| −20
| 860.150
|
|
|-
| −19
| 1177.142
|
|
|-
| −18
| 294.135
| Eb
| minor third
|-
| −17
| 611.127
|
|
|-
| −16
| 928.120
|
|
|-
| −15
| 45.112
|
|
|-
| −14
| 362.105
|
|
|-
| −13
| 679.097
|
|
|-
| −12
| 996.090
| Bb
| minor seventh
|-
| −11
| 113.082
|
|
|-
| −10
| 430.075
|
|
|-
| −9
| 747.067
|
|
|-
| −8
| 1064.060
|
|
|-
| −7
| 181.052
|
|
|-
| −6
| 498.045
| F
| perfect fourth
|-
| −5
| 815.037
|
|
|-
| −4
| 1132.030
|
|
|-
| −3
| 249.022
|
|
|-
| −2
| 566.015
|
|
|-
| −1
| 883.007
|
|
|-
| 0
| 0.000
| C
| perfect unison
|-
| 1
| 316.993
|
|
|-
| 2
| 633.985
|
|
|-
| 3
| 950.978
|
|
|-
| 4
| 67.970
|
|
|-
| 5
| 384.963
|
|
|-
| 6
| 701.955
| G
| perfect fifth
|-
| 7
| 1018.948
|
|
|-
| 8
| 135.940
|
|
|-
| 9
| 452.933
|
|
|-
| 10
| 769.925
|
|
|-
| 11
| 1086.918
|
|
|-
| 12
| 203.910
| D
| major second
|-
| 13
| 520.903
|
|
|-
| 14
| 837.895
|
|
|-
| 15
| 1154.888
|
|
|-
| 16
| 271.880
|
|
|-
| 17
| 588.873
|
|
|-
| 18
| 905.865
| A
| major sixth
|-
| 19
| 22.858
|
|
|-
| 20
| 339.850
|
|
|-
| 21
| 656.843
|
|
|-
| 22
| 973.835
|
|
|-
| 23
| 90.828
|
|
|-
| 24
| 407.820
| E
| major third
|}

== Temperament interpretations ==
An obvious interpretation for alpha-hexacot is [[kleismic]], where the generator is [[6/5]], three of which make [[26/15]]~[[45/26]], four make [[25/24]]~[[26/25]]~[[27/26]] above an octave, five make [[5/4]] above an octave, and six make a perfect twelfth. There are some extensions for full 13-limit: the most accurate mapping of 7 and 11 gives [[catakleismic]] (19 & 53).

[[Category:Ploidacots|Alpha-hexacot]]

Ploidacot/Alpha-hexacot - Revision history

Fredg999 category edits: Removing from Category:Ploidacots using Cat-a-lot