import { Fraction } from 'xen-dev-utils';
import { TimeMonzo } from './monzo';
/**
 * Degree of a relative Pythagorean interval.
 */
export type Degree = {
    /**
     * A boolean flag indicating if the degree represents an inverted ratio.
     */
    negative: boolean;
    /**
     * Interval class: 1-indexed semiordinal from 1 to 7.5.
     */
    base: number;
    /**
     * Number of octaves added to the base interval class.
     */
    octaves: number;
    /**
     * Flag to indicate if the degree has minor and major variants.
     */
    imperfect: boolean;
};
/**
 * Fractional modifier for interval qualities and accidentals.
 */
export type VulgarFraction = '' | '¼' | 'q' | '½' | 's' | '¾' | 'Q' | '⅐' | '⅑' | '⅒' | '⅓' | '⅔' | '⅕' | '⅖' | '⅗' | '⅘' | '⅙' | '⅚' | '⅛' | '⅜' | '⅝' | '⅞';
/**
 * Augmented interval quality or extra apotomes added or subtracted from the relative interval.
 */
export type AugmentedQuality = 'd' | 'dim' | 'a' | 'Â' | 'aug' | 'Aug';
/**
 * Interval quality, possibly fractional.
 */
export type IntervalQuality = {
    fraction: VulgarFraction;
    quality: 'm' | 'min' | 'n' | 'neu' | 'P' | 'M' | 'maj' | 'Maj' | AugmentedQuality;
};
/**
 * Relative Pythagorean interval.
 */
export type Pythagorean = {
    type: 'Pythagorean';
    quality: IntervalQuality;
    augmentations?: AugmentedQuality[];
    degree: Degree;
};
/**
 * Absolute pitch nominal: Traditional Pythagorean or semioctave.
 */
export type Nominal = 'A' | 'B' | 'C' | 'D' | 'E' | 'F' | 'G' | 'alp' | 'α' | 'bet' | 'β' | 'gam' | 'γ' | 'del' | 'δ' | 'eps' | 'ε' | 'zet' | 'ζ' | 'eta' | 'η' | 'phi' | 'φ' | 'chi' | 'χ' | 'psi' | 'ψ' | 'ome' | 'ω' | 'H' | 'I' | 'the' | 'θ' | 'iot' | 'ι' | 'kap' | 'κ' | 'lam' | 'λ' | 'muu' | 'μ' | 'nuu' | 'ν' | 'xii' | 'ξ' | 'omi' | 'ο' | 'pii' | 'π' | 'rho' | 'ρ' | 'fsi' | 'ς' | 'sig' | 'σ' | 'tau' | 'τ' | 'ups' | 'υ';
/**
 * Musical accidental representing some powers of primes 2 and 3, possibly fractional.
 */
export type Accidental = '𝄪' | '𝄫' | '𝄲' | '𝄳' | 'x' | '♯' | '#' | '‡' | 't' | '♮' | '_' | 'd' | '♭' | 'b' | '𝄬' | '𝄭' | '𝄮' | '𝄯' | '𝄰' | '𝄱';
/**
 * Musical accidental representing some (possibly split) powers of primes 2 and 3, possibly fractional.
 */
export type SplitAccidental = {
    fraction: VulgarFraction;
    accidental: Accidental;
};
/**
 * Absolute Pythagorean pitch.
 */
export type AbsolutePitch = {
    type: 'AbsolutePitch';
    nominal: Nominal;
    accidentals: SplitAccidental[];
    octave: number;
};
type PtolInflection = [Fraction, Fraction, Fraction];
/** @hidden */
export declare const ACCIDENTAL_VECTORS: Map<Accidental, PtolInflection>;
/** @hidden */
export declare const VULGAR_FRACTIONS: Map<VulgarFraction, Fraction>;
export declare function pythagoreanMonzo(node: Pythagorean): TimeMonzo;
export declare function absoluteMonzo(node: AbsolutePitch): TimeMonzo;
export declare function monzoToNode(monzo: TimeMonzo): Pythagorean | undefined;
export declare function absoluteToNode(monzo: TimeMonzo): AbsolutePitch | undefined;
export {};