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Scale 803: "Loritonic"

Scale 803: Loritonic, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above. Dotted lines indicate axes of symmetry.

Tonnetz Diagram

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Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Common Names

Zeitler
Loritonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,1,5,8,9}
Forte Number5-21
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2201
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?no
prime: 307
Deep Scaleno
Interval Vector202420
Interval Spectrump2m4n2d2
Distribution Spectra<1> = {1,3,4}
<2> = {4,5,7}
<3> = {5,7,8}
<4> = {8,9,11}
Spectra Variation2.4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 803 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 2449
Scale 2449: Zacritonic, Ian Ring Music TheoryZacritonic
3rd mode:
Scale 409
Scale 409: Laritonic, Ian Ring Music TheoryLaritonic
4th mode:
Scale 563
Scale 563: Thacritonic, Ian Ring Music TheoryThacritonic
5th mode:
Scale 2329
Scale 2329: Styditonic, Ian Ring Music TheoryStyditonic

Prime

The prime form of this scale is Scale 307

Scale 307Scale 307: Raga Megharanjani, Ian Ring Music TheoryRaga Megharanjani

Complement

The pentatonic modal family [803, 2449, 409, 563, 2329] (Forte: 5-21) is the complement of the heptatonic modal family [823, 883, 1843, 2459, 2489, 2969, 3277] (Forte: 7-21)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 803 is 2201

Scale 2201Scale 2201: Ionagitonic, Ian Ring Music TheoryIonagitonic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 803 is chiral, and its enantiomorph is scale 2201

Scale 2201Scale 2201: Ionagitonic, Ian Ring Music TheoryIonagitonic

Transformations:

T0 803  T0I 2201
T1 1606  T1I 307
T2 3212  T2I 614
T3 2329  T3I 1228
T4 563  T4I 2456
T5 1126  T5I 817
T6 2252  T6I 1634
T7 409  T7I 3268
T8 818  T8I 2441
T9 1636  T9I 787
T10 3272  T10I 1574
T11 2449  T11I 3148

Nearby Scales:

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 801Scale 801, Ian Ring Music Theory
Scale 805Scale 805: Rothitonic, Ian Ring Music TheoryRothitonic
Scale 807Scale 807: Raga Suddha Mukhari, Ian Ring Music TheoryRaga Suddha Mukhari
Scale 811Scale 811: Radimic, Ian Ring Music TheoryRadimic
Scale 819Scale 819: Augmented Inverse, Ian Ring Music TheoryAugmented Inverse
Scale 771Scale 771, Ian Ring Music Theory
Scale 787Scale 787: Aeolapritonic, Ian Ring Music TheoryAeolapritonic
Scale 835Scale 835, Ian Ring Music Theory
Scale 867Scale 867: Phrocrimic, Ian Ring Music TheoryPhrocrimic
Scale 931Scale 931: Raga Kalakanthi, Ian Ring Music TheoryRaga Kalakanthi
Scale 547Scale 547: Pyrric, Ian Ring Music TheoryPyrric
Scale 675Scale 675: Altered Pentatonic, Ian Ring Music TheoryAltered Pentatonic
Scale 291Scale 291: Raga Lavangi, Ian Ring Music TheoryRaga Lavangi
Scale 1315Scale 1315: Pyritonic, Ian Ring Music TheoryPyritonic
Scale 1827Scale 1827: Katygimic, Ian Ring Music TheoryKatygimic
Scale 2851Scale 2851: Katoptimic, Ian Ring Music TheoryKatoptimic

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.