当前位置: X-MOL 学术Int. J. Mod. Phys. C › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
High n-gram occurrence probability in baroque, classical and romantic melodies
International Journal of Modern Physics C ( IF 1.9 ) Pub Date : 2020-10-21 , DOI: 10.1142/s0129183121500236
Alejandro Hernández-Fuentes 1 , M. del Castillo-Mussot 2 , Candelario Hernández-Gómez 2
Affiliation  

An [Formula: see text]-gram in music is defined as an ordered sequence of [Formula: see text] notes of a melodic sequence [Formula: see text]. [Formula: see text] is calculated as the average of the occurrence probability without self-matches of all [Formula: see text]-grams in [Formula: see text]. Then, [Formula: see text] is compared to the averages Shuff[Formula: see text] and Equip[Formula: see text], calculated from random sequences constructed with the same length and set of symbols in [Formula: see text] either by shuffling a given sequence or by distributing the set of symbols equiprobably. For all [Formula: see text], both [Formula: see text], [Formula: see text], and this differences increases with [Formula: see text] and the number of notes, which proves that notes in musical melodic sequences are chosen and arranged in very repetitive ways, in contrast to random music. For instance, for [Formula: see text] and for all analyzed genres we found that [Formula: see text], while [Formula: see text] and [Formula: see text]. [Formula: see text] of baroque and classical genres are larger than the romantic genre one. [Formula: see text] vs [Formula: see text] is very well fitted to stretched exponentials for all songs. This simple method can be applied to any musical genre and generalized to polyphonic sequences.

中文翻译:

巴洛克、古典和浪漫旋律中的高 n-gram 出现概率

音乐中的 [Formula: see text]-gram 被定义为旋律序列 [Formula: see text] 的 [Formula: see text] 音符的有序序列。[公式:见文]计算为[公式:见文]中所有[公式:见文]-gram没有自匹配的出现概率的平均值。然后,将 [公式:参见文本] 与 Shuff[公式:参见文本] 和 Equip[公式:参见文本] 的平均值进行比较,该平均值是根据 [公式:参见文本] 中具有相同长度和符号集的随机序列计算得出的通过改组给定序列或通过等概率分布符号集。对于所有[公式:见正文],无论是[公式:见正文],[公式:见正文],而且这种差异随着[公式:见正文]和注释数量的增加而增加,这证明了与随机音乐相比,音乐旋律序列中的音符是以非常重复的方式选择和排列的。例如,对于 [公式:参见文本] 和所有分析的类型,我们发现 [公式:参见文本],而 [公式:参见文本] 和 [公式:参见文本]。[公式:见正文] 巴洛克和古典流派大于浪漫流派。[公式:见正文] vs [公式:见正文]非常适合所有歌曲的拉伸指数。这种简单的方法可以应用于任何音乐流派,并推广到复音序列。[公式:见正文] vs [公式:见正文]非常适合所有歌曲的拉伸指数。这种简单的方法可以应用于任何音乐流派,并推广到复音序列。[公式:见正文] vs [公式:见正文]非常适合所有歌曲的拉伸指数。这种简单的方法可以应用于任何音乐流派,并推广到复音序列。
更新日期:2020-10-21
down
wechat
bug