iOS10.1でApple MusicのためのAPIが追加されたので試す ref: http://qiita.com/hanawat/items/c900cefcefdadb9b7283

file0.swift

player.setQueueWithStoreIDs(storeIds)

file1.swift

// collectionView(_:didSelectItemAt:)
let selectedStoreIds = trackIds.enumerated().filter { $0.offset >=  indexPath.row }.map { $0.element } 
    + trackIds.enumerated().filter { $0.offset < indexPath.row }.map { $0.element }

player.repeatMode = .all
player.setQueueWithStoreIDs(selectedStoreIds)

file2.swift

// collectionView(_:didSelectItemAt:)
let descriptor = MPMusicPlayerStoreQueueDescriptor(storeIDs: trackIds)
descriptor.startItemID = trackIds[indexPath.row]
player.setQueueWith(descriptor)

file3.swift

descriptor.setStartTime(10.0, forItemWithStoreID: storeId)
descriptor.setEndTime(30.0, forItemWithStoreID: storeId)

file4.swift

playerViewController.player.prepareToPlay(completionHandler: { error in
    if error == nil {
        player.play()
    } else {
        print(error?.localizedDescription)
    }
})

file5.swift

struct MPError {
    init(_nsError _nsError: NSError)
    static var _nsErrorDomain: String { get }
    enum Code : Int {
        typealias _ErrorType = MPError
        case unknown
        case permissionDenied
        case cloudServiceCapabilityMissing
        case networkConnectionFailed
        case notFound
        case notSupported
    }
    static var unknown: MPError.Code { get }
    static var permissionDenied: MPError.Code { get }
    static var cloudServiceCapabilityMissing: MPError.Code { get }
    static var networkConnectionFailed: MPError.Code { get }
    static var notFound: MPError.Code { get }
    static var notSupported: MPError.Code { get }
}