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Scale 1835: "Byptian"

Scale 1835: Byptian, 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

41161837294116105072918310504116183
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
Byptian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,5,8,9,10}
Forte Number7-27
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2717
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes6
Prime?no
prime: 695
Deep Scaleno
Interval Vector344451
Interval Spectrump5m4n4s4d3t
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.286
Maximally Evenno
Maximal Area Setno
Interior Area2.549
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1835 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2965
Scale 2965: Darian, Ian Ring Music TheoryDarian
3rd mode:
Scale 1765
Scale 1765: Lonian, Ian Ring Music TheoryLonian
4th mode:
Scale 1465
Scale 1465: Mela Ragavardhani, Ian Ring Music TheoryMela Ragavardhani
5th mode:
Scale 695
Scale 695: Sarian, Ian Ring Music TheorySarianThis is the prime mode
6th mode:
Scale 2395
Scale 2395: Zoptian, Ian Ring Music TheoryZoptian
7th mode:
Scale 3245
Scale 3245: Mela Varunapriya, Ian Ring Music TheoryMela Varunapriya

Prime

The prime form of this scale is Scale 695

Scale 695Scale 695: Sarian, Ian Ring Music TheorySarian

Complement

The heptatonic modal family [1835, 2965, 1765, 1465, 695, 2395, 3245] (Forte: 7-27) is the complement of the pentatonic modal family [299, 689, 1417, 1573, 2197] (Forte: 5-27)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1835 is 2717

Scale 2717Scale 2717: Epygian, Ian Ring Music TheoryEpygian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1835 is chiral, and its enantiomorph is scale 2717

Scale 2717Scale 2717: Epygian, Ian Ring Music TheoryEpygian

Transformations:

T0 1835  T0I 2717
T1 3670  T1I 1339
T2 3245  T2I 2678
T3 2395  T3I 1261
T4 695  T4I 2522
T5 1390  T5I 949
T6 2780  T6I 1898
T7 1465  T7I 3796
T8 2930  T8I 3497
T9 1765  T9I 2899
T10 3530  T10I 1703
T11 2965  T11I 3406

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 1833Scale 1833: Ionacrimic, Ian Ring Music TheoryIonacrimic
Scale 1837Scale 1837: Dalian, Ian Ring Music TheoryDalian
Scale 1839Scale 1839: Zogyllic, Ian Ring Music TheoryZogyllic
Scale 1827Scale 1827: Katygimic, Ian Ring Music TheoryKatygimic
Scale 1831Scale 1831: Pothian, Ian Ring Music TheoryPothian
Scale 1843Scale 1843: Ionygian, Ian Ring Music TheoryIonygian
Scale 1851Scale 1851: Zacryllic, Ian Ring Music TheoryZacryllic
Scale 1803Scale 1803, Ian Ring Music Theory
Scale 1819Scale 1819: Pydian, Ian Ring Music TheoryPydian
Scale 1867Scale 1867: Solian, Ian Ring Music TheorySolian
Scale 1899Scale 1899: Moptyllic, Ian Ring Music TheoryMoptyllic
Scale 1963Scale 1963: Epocryllic, Ian Ring Music TheoryEpocryllic
Scale 1579Scale 1579: Sagimic, Ian Ring Music TheorySagimic
Scale 1707Scale 1707: Dorian Flat 2, Ian Ring Music TheoryDorian Flat 2
Scale 1323Scale 1323: Ritsu, Ian Ring Music TheoryRitsu
Scale 811Scale 811: Radimic, Ian Ring Music TheoryRadimic
Scale 2859Scale 2859: Phrycrian, Ian Ring Music TheoryPhrycrian
Scale 3883Scale 3883: Kyryllic, Ian Ring Music TheoryKyryllic

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.