Table of Contents
今天从哪里开始?
chord recognition复习完了!不,还没有复习完!还有一个总结篇章没有搞完。
本日待处理事项:
回顾这篇半成品文章:🔗 [2022-03-29 - Truxton's blog] https://truxton2blog.com/2022-03-29/
✅ 把这篇总结文章写完:🔗 [Chord recognition - Truxton's blog] https://truxton2blog.com/chord-recognition/
马尔可夫,随机游走,50%获胜的赌博
马尔可夫,随机游走,50%获胜的赌博
从这篇草稿里搬运过来:p=6976
我也忘了为什么一开始会莫名其妙开始学到这个话题!
最开始在这里接触到马尔可夫和random walk: 🔗 [2021-12-21 - Truxton's blog] https://truxton2blog.com/2021-12-21/
在阅读一篇文章时:🔗 [从随机游走到马尔科夫过程(壹) - 知乎] https://zhuanlan.zhihu.com/p/32678842 发现一个有趣的结论:
![](https://truxton2blog.com/wp-content/uploads/2022/07/20220720_134803_CdpoU.png)
为什么一定要超过50%呢?(看起来有一点点像香农采样定理中的[mathjax]>\frac{1}{2}[/mathjax])
找到了这个链接:🔗 [假设赌博输赢的概率都是 50%,那么长期赌博的人为什么仍然会更容易倾家荡产而不是收益均衡? - 知乎] https://www.zhihu.com/question/63334274
找到了一个理想中的答案:https://www.zhihu.com/question/63334274/answer/254384239
核心原因在于 不允许存在负数的钱 !
![](https://truxton2blog.com/wp-content/uploads/2022/07/20220720_135448_VONs0-300x196.png)
在这条回答的评论区里有另一个补充:
![](https://truxton2blog.com/wp-content/uploads/2022/07/20220720_135723_KiEhN-300x53.png)
额外阅读:🔗 [从随机游走到马尔科夫过程(壹) - 知乎] https://zhuanlan.zhihu.com/p/32678842
Circle of Fifths,五度圈
介绍
Circle of Fifths,“五度圈”
最开始来自:《Fundamentals of …》P248
![](https://truxton2blog.com/wp-content/uploads/2022/07/20220720_145123_sWN2m-300x284.png)
Copyright NiceChord
简单的说,五度圈的实现方式就是 “(在十二平均律上)向左移动5度” 到达下一个音阶的起点,然后再向左移动5度到达下一个音阶的起点...最终会从C出发走完一圈走回C.
🔗 [一部影片之內,真的完全搞懂「五度圈」!(Circle of Fifths) - YouTube] https://www.youtube.com/watch?v=EyF7EBnmdEs
前置知识: major scale和minor scale
五度圈的前置知识有点多,先来了解点别的:
major scale和minor scale
major scale:
![](https://truxton2blog.com/wp-content/uploads/2022/07/20220720_152403_Wi1oL.png)
minor scale:
![](https://truxton2blog.com/wp-content/uploads/2022/07/20220720_152412_peIUB.png)
动手推导
现在开始推导大调音阶:
使用这张空白图作为推导模版:
![](https://truxton2blog.com/wp-content/uploads/2022/07/20220720_152741_LR2Mb.jpeg)
现在开始推导小调音阶:
从note a开始,使用minor scale原则:
![](https://truxton2blog.com/wp-content/uploads/2022/07/20220720_152904_W2wtm.png)
同样地,每次都向左平移5个单位作为五度圈下一个音阶的起点。
联系其他内容
现在已经成功推导并理解了五度圈的内容,将这些音阶排列起来,并且和五度圈放在一起对照:
![](https://truxton2blog.com/wp-content/uploads/2022/07/20220720_145123_sWN2m-300x284.png)
![](https://truxton2blog.com/wp-content/uploads/2022/07/20220720_153907_aBWFd-300x69.png)
![](https://truxton2blog.com/wp-content/uploads/2022/07/20220720_153919_JOmil-300x74.png)
![](https://truxton2blog.com/wp-content/uploads/2022/07/20220720_153945_gM59y-300x81.png)
![](https://truxton2blog.com/wp-content/uploads/2022/07/20220720_154206_eF3co-300x52.png)
![](https://truxton2blog.com/wp-content/uploads/2022/07/20220720_154215_TqlrD-300x59.png)
![](https://truxton2blog.com/wp-content/uploads/2022/07/20220720_154223_S89z3-300x51.png)
![](https://truxton2blog.com/wp-content/uploads/2022/07/20220720_154029_NbrjE-300x57.png)
![](https://truxton2blog.com/wp-content/uploads/2022/07/20220720_154038_fnXaf-300x53.png)
![](https://truxton2blog.com/wp-content/uploads/2022/07/20220720_154047_iBxxu-300x56.png)
![](https://truxton2blog.com/wp-content/uploads/2022/07/20220720_154116_f0AJm-300x55.png)
![](https://truxton2blog.com/wp-content/uploads/2022/07/20220720_154123_nVo7V-300x54.png)
![](https://truxton2blog.com/wp-content/uploads/2022/07/20220720_154132_EIdT3-300x53.png)