Harmonotonic tuning: Difference between revisions
Cmloegcmluin (talk | contribs) →Gallery of monotonic tunings: 2nd wave of first major putting it out there |
Cmloegcmluin (talk | contribs) →Table of monotonic tunings: links |
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{| class="wikitable" | {| class="wikitable" | ||
|+ Caption text | |+ Caption text | ||
! | ! colspan="2" rowspan="2" | | ||
! colspan="3" |tuning type | ! colspan="3" |tuning type | ||
|- | |- | ||
! arithmetic | ! arithmetic | ||
rational | rational | ||
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irrational | irrational | ||
|- | |- | ||
! rowspan="17" |'''tuning''' | |||
'''shape''' | '''shape''' | ||
! rowspan="7" |'''decreasing''' | |||
'''step size''' | '''step size''' | ||
| '''harmonic series''' || '''shifted harmonic series''' | |'''[[Overtone series|overtone series, or harmonic series]]'''||'''shifted harmonic series''' (± frequency) | ||
(± frequency) | ''(equivalent to AFS)'' | ||
''(equivalent to AFS)'' | |||
| '''stretched/compressed harmonic series''' (exponentiated frequency, multiplied pitch) ''(equivalent to powharmonic series)'' | | '''stretched/compressed harmonic series''' (exponentiated frequency, multiplied pitch) ''(equivalent to powharmonic series)'' | ||
|- | |- | ||
|'''harmonic mode''' ''(equivalent to n-ODO)'' | |'''[[Overtone scale#Over-n Scales|harmonic mode, or over-n scale]]''' ''(equivalent to n-ODO)'' | ||
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|c-powharmonic series exponent c | |'''c-powharmonic series''' exponent c | ||
|- | |- | ||
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|b-logharmonic series base b | |'''b-logharmonic series''' base b | ||
|- | |- | ||
|n-ADO: arithmetic division of octave (equivalent to n-ODO) | |[[ADO|'''n-ADO:''' arithmetic division of octave]] ''(equivalent to n-ODO)'' | ||
| | | | ||
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|- | |- | ||
! rowspan="3" |'''equal''' | |||
'''step size''' | '''step size''' | ||
| '''1D JI lattice''' | |'''1D [[Harmonic Lattice Diagram|JI lattice]]''' | ||
| rank-1 temperament || rowspan="3" | | | [[Tour of Regular Temperaments#Equal temperaments .28Rank-1 temperaments.29|'''rank-1 temperament''']] || rowspan="3" | | ||
|- | |- | ||
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|n-EDp: n equal (pitch) divisions of interval p (e.g. 12-EDO) (equivalent to rank-1 temperament of p/n) | |'''n-EDp:''' n equal (pitch) divisions of interval p (e.g. 12-EDO) ''(equivalent to rank-1 temperament of p/n)'' | ||
|- | |- | ||
|'''(n-)ASp:''' (n pitches of an) ambitonal sequence adding by p ''(equivalent to 1D JI lattice of p)'' | |'''(n-)ASp:''' (n pitches of an) ambitonal sequence adding by p ''(equivalent to 1D JI lattice of p)'' | ||
|(n-)APSp: (n pitches of an) arithmetic pitch sequence adding by p (equivalent to rank-1 temperament with generator p) | |'''(n-)APSp:''' (n pitches of an) arithmetic pitch sequence adding by p ''(equivalent to rank-1 temperament with generator p)'' | ||
|- | |- | ||
! rowspan="7" |'''increasing''' | |||
'''step size''' | '''step size''' | ||
| subharmonic series || shifted subharmonic series ( | | '''[[wikipedia:Undertone_series|undertone series, or subharmonic series]]''' || '''shifted subharmonic series''' (± frequency) ''(equivalent to ALS)'' || '''stretched/compressed subharmonic series''' (exponentiated frequency, multiplied pitch) ''(equivalent to subpowharmonic series)'' | ||
|- | |- | ||
|subharmonic mode (equivalent to n-UDO) | |'''[[Overtone scale#Next Steps|subharmonic mode, or under-n scale]]''' ''(equivalent to n-UDO)'' | ||
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|- | |- | ||
|n-UDp: n utonal divisions of interval p | |'''n-UDp:''' n utonal divisions of interval p | ||
|n-ELDp: n equal length divisions of interval p | |'''n-ELDp:''' n equal length divisions of interval p | ||
| | | | ||
|- | |- | ||
|(n-)USp: (n pitches of a) utonal sequence adding by p | |'''(n-)USp:''' (n pitches of a) utonal sequence adding by p | ||
|(n-)ALSp: (n pitches of an) arithmetic length sequence adding by p | |'''(n-)ALSp:''' (n pitches of an) arithmetic length sequence adding by p | ||
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|- | |- | ||
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|c-subpowharmonic series exponent c | |'''c-subpowharmonic series''' exponent c | ||
|- | |- | ||
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|b-sublogharmonic series base b | |'''b-sublogharmonic series''' base b | ||
|- | |- | ||
|EDL: equal division of length (equivalent to n-UDn) | |[[EDL|'''EDL:''' equal division of length]] ''(equivalent to n-UDn)'' | ||
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