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Scale 499: "Ionaptian"

Scale 499: Ionaptian, 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
Ionaptian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,4,5,6,7,8}
Forte Number7-6
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2545
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes6
Prime?no
prime: 415
Deep Scaleno
Interval Vector533442
Interval Spectrump4m4n3s3d5t2
Distribution Spectra<1> = {1,3,4}
<2> = {2,4,5}
<3> = {3,5,6,8}
<4> = {4,6,7,9}
<5> = {7,8,10}
<6> = {8,9,11}
Spectra Variation3.143
Maximally Evenno
Maximal Area Setno
Interior Area2.183
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 499 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2297
Scale 2297: Thylian, Ian Ring Music TheoryThylian
3rd mode:
Scale 799
Scale 799: Lolian, Ian Ring Music TheoryLolian
4th mode:
Scale 2447
Scale 2447: Thagian, Ian Ring Music TheoryThagian
5th mode:
Scale 3271
Scale 3271: Mela Raghupriya, Ian Ring Music TheoryMela Raghupriya
6th mode:
Scale 3683
Scale 3683: Dycrian, Ian Ring Music TheoryDycrian
7th mode:
Scale 3889
Scale 3889: Parian, Ian Ring Music TheoryParian

Prime

The prime form of this scale is Scale 415

Scale 415Scale 415: Aeoladian, Ian Ring Music TheoryAeoladian

Complement

The heptatonic modal family [499, 2297, 799, 2447, 3271, 3683, 3889] (Forte: 7-6) is the complement of the pentatonic modal family [103, 899, 2099, 2497, 3097] (Forte: 5-6)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 499 is 2545

Scale 2545Scale 2545: Thycrian, Ian Ring Music TheoryThycrian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 499 is chiral, and its enantiomorph is scale 2545

Scale 2545Scale 2545: Thycrian, Ian Ring Music TheoryThycrian

Transformations:

T0 499  T0I 2545
T1 998  T1I 995
T2 1996  T2I 1990
T3 3992  T3I 3980
T4 3889  T4I 3865
T5 3683  T5I 3635
T6 3271  T6I 3175
T7 2447  T7I 2255
T8 799  T8I 415
T9 1598  T9I 830
T10 3196  T10I 1660
T11 2297  T11I 3320

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 497Scale 497: Kadimic, Ian Ring Music TheoryKadimic
Scale 501Scale 501: Katylian, Ian Ring Music TheoryKatylian
Scale 503Scale 503: Thoptyllic, Ian Ring Music TheoryThoptyllic
Scale 507Scale 507: Moryllic, Ian Ring Music TheoryMoryllic
Scale 483Scale 483: Kygimic, Ian Ring Music TheoryKygimic
Scale 491Scale 491: Aeolyrian, Ian Ring Music TheoryAeolyrian
Scale 467Scale 467: Raga Dhavalangam, Ian Ring Music TheoryRaga Dhavalangam
Scale 435Scale 435: Raga Purna Pancama, Ian Ring Music TheoryRaga Purna Pancama
Scale 371Scale 371: Rythimic, Ian Ring Music TheoryRythimic
Scale 243Scale 243, Ian Ring Music Theory
Scale 755Scale 755: Phrythian, Ian Ring Music TheoryPhrythian
Scale 1011Scale 1011: Kycryllic, Ian Ring Music TheoryKycryllic
Scale 1523Scale 1523: Zothyllic, Ian Ring Music TheoryZothyllic
Scale 2547Scale 2547: Raga Ramkali, Ian Ring Music TheoryRaga Ramkali

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.