Pontiac: Difference between revisions

Xenllium (talk | contribs)
Cmloegcmluin (talk | contribs)
Spectrum of pontiac tunings by eigenmonzos: improve and standardize tuning spectra tables
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<nowiki>*</nowiki> in 7-limit POTE tuning
<nowiki>*</nowiki> in 7-limit POTE tuning


== Spectrum of pontiac tunings by eigenmonzos ==
== Tuning spectra ==
=== Helenoid mapping ===
=== Helenoid ===
Gencom: [2 4/3; 352/351 385/384 561/560 625/624 729/728]
Gencom: [2 4/3; 352/351 385/384 561/560 625/624 729/728]


Gencom map: [{{val|1 2 -1 19 -9 -10 29}}, {{val|0 -1 8 -39 30 33 -60}}]
Gencom map: [{{val|1 2 -1 19 -9 -10 29}}, {{val|0 -1 8 -39 30 33 -60}}]


{| class="wikitable center-1 right-2"
{| class="wikitable center-all"
|-
|-
! Eigenmonzo
! [[eigenmonzo|eigenmonzo<br>(unchanged interval]])
! Fifth
! fifth<br>(¢)
! Comments
! comments
|-
|-
| 11/10
| 11/10
Line 1,037: Line 1,037:
|}
|}


=== Ponta mapping ===
=== Ponta ===
Gencom: [2 4/3; 375/374 540/539 625/624 729/728 2200/2197]
Gencom: [2 4/3; 375/374 540/539 625/624 729/728 2200/2197]


Gencom map: [{{val|1 2 -1 19 -31 -10 29}}, {{val|0 -1 8 -39 83 33 -60}}]
Gencom map: [{{val|1 2 -1 19 -31 -10 29}}, {{val|0 -1 8 -39 83 33 -60}}]


{| class="wikitable center-1 right-2"
{| class="wikitable center-all"
|-
|-
! Eigenmonzo
! eigenmonzo<br>(unchanged interval)
! Fifth
! fifth<br>(¢)
! Comments
! comments
|-
|-
| 16/15
| 16/15
Line 1,173: Line 1,173:
|}
|}


=== Pontic mapping ===
=== Pontic ===
Gencom: [2 4/3; 441/440 595/594 625/624 729/728 2880/2873]
Gencom: [2 4/3; 441/440 595/594 625/624 729/728 2880/2873]


Gencom map: [{{val|1 2 -1 19 40 -10 29}}, {{val|0 -1 8 -39 -88 33 -60}}]
Gencom map: [{{val|1 2 -1 19 40 -10 29}}, {{val|0 -1 8 -39 -88 33 -60}}]


{| class="wikitable center-1 right-2"
{| class="wikitable center-all"
|-
|-
! Eigenmonzo
! eigenmonzo<br>(unchanged interval)
! Fifth
! fifth<br>(¢)
! Comments
! comments
|-
|-
| 22/17
| 22/17