Chordioid
The main use of chordioids is to form "legitimate" chords enharmonically in 12TET by adding one or more notes to this base.[2] The resultant chords on a single chordioid are somewhat related, because they can be progressed between using motion of just one voice.Theorists – or practical music teachers – writing of chordioids usually go so far as to advise that students learn them in the practical manner of chords generally: in all transpositions, ranges, permutations, and voicings, for reading, writing, and playing.Rawlins (2005) asserts that the notion derives from practice of such composers as Eric Satie, Claude Debussy, Maurice Ravel, and Gabriel Fauré, and was first used in jazz by Bill Evans.The following table illustrates:[9] Joseph Schillinger also used basic triads and the master chord as chordioids in building bigger structures, textures, and strata.
ancohemitonicenharmonicallyprogressed betweentranspositionsrangespermutationsvoicingsEric SatieClaude DebussyMaurice RavelGabriel FauréBill Evanspolychordsupper structuresslash chordsNicolas Slonimskywholetone scalesymmetrieshomogeneityanhemitonicaccordiondominant function7th chordsmM7no5Joseph Schillinger7♭5no37♯5no3M7♯5no3cohemitonicEleventh chordM7sus4Augmented sixth chordaugmented sixth chords (+6ths) major thirdaugmented sixthanhemitoniadiminishedaugmentedFactor (chord)ChordsSuspendedSeventhDominantDominant seventh flat fiveHalf-diminishedDiminished majorMinor-majorAugmented majorAugmented minorAltered seventhNondominantHarmonic seventhExtendedEleventhThirteenthUpper structureDominant 7♯9PolychordTone clusterLydianSeven sixBridgeComplexe sonoreElektraFarbenMysticNorthern lightsPetrushkaPsalmsSo WhatTristanViennese trichordMixed intervalSecundalTertianQuartalSynthetic chordTetradfunctionDiatonicSupertonicMediantSubdominantSubmediantLeading toneSubtonicAlteredApproachBorrowedChromatic mediantNeapolitanPassingSecondarySecondary dominantSecondary leading-toneSecondary supertonicCommonContrastPrimary triadSubsidiarySubstituteChord-scale systemGuitarArpeggioChord names and symbolsList of chordsFactortheoryimprovisationAvoid noteBackdoor progressionBar-line shiftBebop scaleBird changesBlock chordBlue noteCadenzaCall and responseColtrane changesCompingConstant structureContrafactElectroacoustic improvisationFree improvisationGrooveHarmolodics